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Finding the Fourth Proportional to 521,465.60, 783,148.80 and 311,513.60

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Solution

The fourth proportional to 521,465.60, 783,148.80 and 311,513.60 is: 467,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,465.60 : 783,148.80 = 311,513.60 : x
  2. Step 2: Convert to fraction form
    521,465.60/783,148.80 = 311,513.60/x
  3. Step 3: Cross multiply
    521,465.60x = 783,148.80 × 311,513.60
  4. Step 4: Simplify right side
    521,465.60x = 243,961,502,023.68
  5. Step 5: Solve for x
    x = 243,961,502,023.68/521,465.60
  6. Step 6: Final answer
    x = 467,838.15

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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.