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Finding the Fourth Proportional to 503,722.60, 755,583.90 and 409,244.20

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Solution

The fourth proportional to 503,722.60, 755,583.90 and 409,244.20 is: 613,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,722.60 : 755,583.90 = 409,244.20 : x
  2. Step 2: Convert to fraction form
    503,722.60/755,583.90 = 409,244.20/x
  3. Step 3: Cross multiply
    503,722.60x = 755,583.90 × 409,244.20
  4. Step 4: Simplify right side
    503,722.60x = 309,218,328,688.38
  5. Step 5: Solve for x
    x = 309,218,328,688.38/503,722.60
  6. Step 6: Final answer
    x = 613,866.30

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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.