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Finding the Fourth Proportional to 704,857.14, 971,967.60 and 418,321.87

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Solution

The fourth proportional to 704,857.14, 971,967.60 and 418,321.87 is: 576,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,857.14 : 971,967.60 = 418,321.87 : x
  2. Step 2: Convert to fraction form
    704,857.14/971,967.60 = 418,321.87/x
  3. Step 3: Cross multiply
    704,857.14x = 971,967.60 × 418,321.87
  4. Step 4: Simplify right side
    704,857.14x = 406,595,304,011.41
  5. Step 5: Solve for x
    x = 406,595,304,011.41/704,857.14
  6. Step 6: Final answer
    x = 576,847.82

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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.