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Finding the Fourth Proportional to 664,411,409.70, 996,617,114.55 and 509,443,214.10

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Solution

The fourth proportional to 664,411,409.70, 996,617,114.55 and 509,443,214.10 is: 764,164,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,411,409.70 : 996,617,114.55 = 509,443,214.10 : x
  2. Step 2: Convert to fraction form
    664,411,409.70/996,617,114.55 = 509,443,214.10/x
  3. Step 3: Cross multiply
    664,411,409.70x = 996,617,114.55 × 509,443,214.10
  4. Step 4: Simplify right side
    664,411,409.70x = 507,719,826,063,419,904
  5. Step 5: Solve for x
    x = 507,719,826,063,419,904/664,411,409.70
  6. Step 6: Final answer
    x = 764,164,821.15

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.