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Finding the Fourth Proportional to 402,142.28, 603,213.02 and 102,622.86

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Solution

The fourth proportional to 402,142.28, 603,213.02 and 102,622.86 is: 153,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,142.28 : 603,213.02 = 102,622.86 : x
  2. Step 2: Convert to fraction form
    402,142.28/603,213.02 = 102,622.86/x
  3. Step 3: Cross multiply
    402,142.28x = 603,213.02 × 102,622.86
  4. Step 4: Simplify right side
    402,142.28x = 61,903,442,285.57
  5. Step 5: Solve for x
    x = 61,903,442,285.57/402,142.28
  6. Step 6: Final answer
    x = 153,934.18

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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.