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Finding the Fourth Proportional to 664,292,496.60, 996,438,744.90 and 319,162,901.40

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Solution

The fourth proportional to 664,292,496.60, 996,438,744.90 and 319,162,901.40 is: 478,744,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,292,496.60 : 996,438,744.90 = 319,162,901.40 : x
  2. Step 2: Convert to fraction form
    664,292,496.60/996,438,744.90 = 319,162,901.40/x
  3. Step 3: Cross multiply
    664,292,496.60x = 996,438,744.90 × 319,162,901.40
  4. Step 4: Simplify right side
    664,292,496.60x = 318,026,280,889,658,432
  5. Step 5: Solve for x
    x = 318,026,280,889,658,432/664,292,496.60
  6. Step 6: Final answer
    x = 478,744,352.10

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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.