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Finding the Fourth Proportional to 306,423.78, 459,859.77 and 156,789.24

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Solution

The fourth proportional to 306,423.78, 459,859.77 and 156,789.24 is: 235,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,423.78 : 459,859.77 = 156,789.24 : x
  2. Step 2: Convert to fraction form
    306,423.78/459,859.77 = 156,789.24/x
  3. Step 3: Cross multiply
    306,423.78x = 459,859.77 × 156,789.24
  4. Step 4: Simplify right side
    306,423.78x = 72,101,063,844.87
  5. Step 5: Solve for x
    x = 72,101,063,844.87/306,423.78
  6. Step 6: Final answer
    x = 235,298.53

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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.