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Finding the Fourth Proportional to 704,858.14, 971,968.98 and 418,322.87

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Solution

The fourth proportional to 704,858.14, 971,968.98 and 418,322.87 is: 576,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,858.14 : 971,968.98 = 418,322.87 : x
  2. Step 2: Convert to fraction form
    704,858.14/971,968.98 = 418,322.87/x
  3. Step 3: Cross multiply
    704,858.14x = 971,968.98 × 418,322.87
  4. Step 4: Simplify right side
    704,858.14x = 406,596,853,264.57
  5. Step 5: Solve for x
    x = 406,596,853,264.57/704,858.14
  6. Step 6: Final answer
    x = 576,849.20

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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.