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Finding the Fourth Proportional to 402,145.52, 603,217.94 and 102,626.15

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Solution

The fourth proportional to 402,145.52, 603,217.94 and 102,626.15 is: 153,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,145.52 : 603,217.94 = 102,626.15 : x
  2. Step 2: Convert to fraction form
    402,145.52/603,217.94 = 102,626.15/x
  3. Step 3: Cross multiply
    402,145.52x = 603,217.94 × 102,626.15
  4. Step 4: Simplify right side
    402,145.52x = 61,905,934,793.13
  5. Step 5: Solve for x
    x = 61,905,934,793.13/402,145.52
  6. Step 6: Final answer
    x = 153,939.14

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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.