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Finding the Fourth Proportional to 705,006,478.40, 972,930,839.92 and 387,460,962.40

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Solution

The fourth proportional to 705,006,478.40, 972,930,839.92 and 387,460,962.40 is: 534,708,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,006,478.40 : 972,930,839.92 = 387,460,962.40 : x
  2. Step 2: Convert to fraction form
    705,006,478.40/972,930,839.92 = 387,460,962.40/x
  3. Step 3: Cross multiply
    705,006,478.40x = 972,930,839.92 × 387,460,962.40
  4. Step 4: Simplify right side
    705,006,478.40x = 376,972,719,584,043,520
  5. Step 5: Solve for x
    x = 376,972,719,584,043,520/705,006,478.40
  6. Step 6: Final answer
    x = 534,708,163.87

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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.