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Finding the Fourth Proportional to 402,934.20, 604,401.30 and 242,575.80

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Solution

The fourth proportional to 402,934.20, 604,401.30 and 242,575.80 is: 363,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,934.20 : 604,401.30 = 242,575.80 : x
  2. Step 2: Convert to fraction form
    402,934.20/604,401.30 = 242,575.80/x
  3. Step 3: Cross multiply
    402,934.20x = 604,401.30 × 242,575.80
  4. Step 4: Simplify right side
    402,934.20x = 146,613,128,868.54
  5. Step 5: Solve for x
    x = 146,613,128,868.54/402,934.20
  6. Step 6: Final answer
    x = 363,863.70

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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.