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Finding the Fourth Proportional to 556,967,400.30, 835,451,100.45 and 280,511,792.10

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Solution

The fourth proportional to 556,967,400.30, 835,451,100.45 and 280,511,792.10 is: 420,767,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,967,400.30 : 835,451,100.45 = 280,511,792.10 : x
  2. Step 2: Convert to fraction form
    556,967,400.30/835,451,100.45 = 280,511,792.10/x
  3. Step 3: Cross multiply
    556,967,400.30x = 835,451,100.45 × 280,511,792.10
  4. Step 4: Simplify right side
    556,967,400.30x = 234,353,885,399,146,656
  5. Step 5: Solve for x
    x = 234,353,885,399,146,656/556,967,400.30
  6. Step 6: Final answer
    x = 420,767,688.15

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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.