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Finding the Fourth Proportional to 502,421.70, 752,466.15 and 343,791.30

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Solution

The fourth proportional to 502,421.70, 752,466.15 and 343,791.30 is: 514,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,421.70 : 752,466.15 = 343,791.30 : x
  2. Step 2: Convert to fraction form
    502,421.70/752,466.15 = 343,791.30/x
  3. Step 3: Cross multiply
    502,421.70x = 752,466.15 × 343,791.30
  4. Step 4: Simplify right side
    502,421.70x = 258,691,315,914.50
  5. Step 5: Solve for x
    x = 258,691,315,914.50/502,421.70
  6. Step 6: Final answer
    x = 514,888.82

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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.