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Finding the Fourth Proportional to 498,722.40, 687,997.80 and 362,545.20

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Solution

The fourth proportional to 498,722.40, 687,997.80 and 362,545.20 is: 500,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,722.40 : 687,997.80 = 362,545.20 : x
  2. Step 2: Convert to fraction form
    498,722.40/687,997.80 = 362,545.20/x
  3. Step 3: Cross multiply
    498,722.40x = 687,997.80 × 362,545.20
  4. Step 4: Simplify right side
    498,722.40x = 249,430,300,000.56
  5. Step 5: Solve for x
    x = 249,430,300,000.56/498,722.40
  6. Step 6: Final answer
    x = 500,138.55

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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.