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Finding the Fourth Proportional to 457,653,265.80, 686,479,898.70 and 407,488,734.60

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Solution

The fourth proportional to 457,653,265.80, 686,479,898.70 and 407,488,734.60 is: 611,233,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,653,265.80 : 686,479,898.70 = 407,488,734.60 : x
  2. Step 2: Convert to fraction form
    457,653,265.80/686,479,898.70 = 407,488,734.60/x
  3. Step 3: Cross multiply
    457,653,265.80x = 686,479,898.70 × 407,488,734.60
  4. Step 4: Simplify right side
    457,653,265.80x = 279,732,825,249,599,232
  5. Step 5: Solve for x
    x = 279,732,825,249,599,232/457,653,265.80
  6. Step 6: Final answer
    x = 611,233,101.90

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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.