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Finding the Fourth Proportional to 402,564.30, 603,462.45 and 149,777.10

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Solution

The fourth proportional to 402,564.30, 603,462.45 and 149,777.10 is: 224,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,564.30 : 603,462.45 = 149,777.10 : x
  2. Step 2: Convert to fraction form
    402,564.30/603,462.45 = 149,777.10/x
  3. Step 3: Cross multiply
    402,564.30x = 603,462.45 × 149,777.10
  4. Step 4: Simplify right side
    402,564.30x = 90,384,855,719.90
  5. Step 5: Solve for x
    x = 90,384,855,719.90/402,564.30
  6. Step 6: Final answer
    x = 224,522.78

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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.