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Finding the Fourth Proportional to 496,319,141.70, 744,478,712.55 and 278,640,908.10

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Solution

The fourth proportional to 496,319,141.70, 744,478,712.55 and 278,640,908.10 is: 417,961,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,319,141.70 : 744,478,712.55 = 278,640,908.10 : x
  2. Step 2: Convert to fraction form
    496,319,141.70/744,478,712.55 = 278,640,908.10/x
  3. Step 3: Cross multiply
    496,319,141.70x = 744,478,712.55 × 278,640,908.10
  4. Step 4: Simplify right side
    496,319,141.70x = 207,442,224,526,050,880
  5. Step 5: Solve for x
    x = 207,442,224,526,050,880/496,319,141.70
  6. Step 6: Final answer
    x = 417,961,362.15

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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.