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Finding the Fourth Proportional to 417,493,387.60, 626,240,081.40 and 254,234,712.40

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Solution

The fourth proportional to 417,493,387.60, 626,240,081.40 and 254,234,712.40 is: 381,352,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,493,387.60 : 626,240,081.40 = 254,234,712.40 : x
  2. Step 2: Convert to fraction form
    417,493,387.60/626,240,081.40 = 254,234,712.40/x
  3. Step 3: Cross multiply
    417,493,387.60x = 626,240,081.40 × 254,234,712.40
  4. Step 4: Simplify right side
    417,493,387.60x = 159,211,966,988,081,600
  5. Step 5: Solve for x
    x = 159,211,966,988,081,600/417,493,387.60
  6. Step 6: Final answer
    x = 381,352,068.60

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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.