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Finding the Fourth Proportional to 704,817.88, 972,206.28 and 418,135

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Solution

The fourth proportional to 704,817.88, 972,206.28 and 418,135 is: 576,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,817.88 : 972,206.28 = 418,135 : x
  2. Step 2: Convert to fraction form
    704,817.88/972,206.28 = 418,135/x
  3. Step 3: Cross multiply
    704,817.88x = 972,206.28 × 418,135
  4. Step 4: Simplify right side
    704,817.88x = 406,513,472,887.80
  5. Step 5: Solve for x
    x = 406,513,472,887.80/704,817.88
  6. Step 6: Final answer
    x = 576,763.85

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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.