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Finding the Fourth Proportional to 398,779,781.60, 598,169,672.40 and 217,381,253.60

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Solution

The fourth proportional to 398,779,781.60, 598,169,672.40 and 217,381,253.60 is: 326,071,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,779,781.60 : 598,169,672.40 = 217,381,253.60 : x
  2. Step 2: Convert to fraction form
    398,779,781.60/598,169,672.40 = 217,381,253.60/x
  3. Step 3: Cross multiply
    398,779,781.60x = 598,169,672.40 × 217,381,253.60
  4. Step 4: Simplify right side
    398,779,781.60x = 130,030,873,251,813,312
  5. Step 5: Solve for x
    x = 130,030,873,251,813,312/398,779,781.60
  6. Step 6: Final answer
    x = 326,071,880.40

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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.