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Finding the Fourth Proportional to 402,894,016.80, 604,341,025.20 and 280,450,010.40

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Solution

The fourth proportional to 402,894,016.80, 604,341,025.20 and 280,450,010.40 is: 420,675,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,894,016.80 : 604,341,025.20 = 280,450,010.40 : x
  2. Step 2: Convert to fraction form
    402,894,016.80/604,341,025.20 = 280,450,010.40/x
  3. Step 3: Cross multiply
    402,894,016.80x = 604,341,025.20 × 280,450,010.40
  4. Step 4: Simplify right side
    402,894,016.80x = 169,487,446,802,486,656
  5. Step 5: Solve for x
    x = 169,487,446,802,486,656/402,894,016.80
  6. Step 6: Final answer
    x = 420,675,015.60

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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.