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Finding the Fourth Proportional to 502,417.20, 752,459.40 and 343,786.80

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Solution

The fourth proportional to 502,417.20, 752,459.40 and 343,786.80 is: 514,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,417.20 : 752,459.40 = 343,786.80 : x
  2. Step 2: Convert to fraction form
    502,417.20/752,459.40 = 343,786.80/x
  3. Step 3: Cross multiply
    502,417.20x = 752,459.40 × 343,786.80
  4. Step 4: Simplify right side
    502,417.20x = 258,685,609,255.92
  5. Step 5: Solve for x
    x = 258,685,609,255.92/502,417.20
  6. Step 6: Final answer
    x = 514,882.07

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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.