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Finding the Fourth Proportional to 652,294.20, 977,129.10 and 439,717.80

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Solution

The fourth proportional to 652,294.20, 977,129.10 and 439,717.80 is: 658,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,294.20 : 977,129.10 = 439,717.80 : x
  2. Step 2: Convert to fraction form
    652,294.20/977,129.10 = 439,717.80/x
  3. Step 3: Cross multiply
    652,294.20x = 977,129.10 × 439,717.80
  4. Step 4: Simplify right side
    652,294.20x = 429,661,058,167.98
  5. Step 5: Solve for x
    x = 429,661,058,167.98/652,294.20
  6. Step 6: Final answer
    x = 658,692.13

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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.