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Finding the Fourth Proportional to 498,609,871.76, 687,724,694.52 and 349,964,147.36

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Solution

The fourth proportional to 498,609,871.76, 687,724,694.52 and 349,964,147.36 is: 482,700,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,609,871.76 : 687,724,694.52 = 349,964,147.36 : x
  2. Step 2: Convert to fraction form
    498,609,871.76/687,724,694.52 = 349,964,147.36/x
  3. Step 3: Cross multiply
    498,609,871.76x = 687,724,694.52 × 349,964,147.36
  4. Step 4: Simplify right side
    498,609,871.76x = 240,678,986,336,108,256
  5. Step 5: Solve for x
    x = 240,678,986,336,108,256/498,609,871.76
  6. Step 6: Final answer
    x = 482,700,002.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.