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Finding the Fourth Proportional to 276,007.30, 413,719.35 and 157,423.30

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Solution

The fourth proportional to 276,007.30, 413,719.35 and 157,423.30 is: 235,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,007.30 : 413,719.35 = 157,423.30 : x
  2. Step 2: Convert to fraction form
    276,007.30/413,719.35 = 157,423.30/x
  3. Step 3: Cross multiply
    276,007.30x = 413,719.35 × 157,423.30
  4. Step 4: Simplify right side
    276,007.30x = 65,129,065,350.86
  5. Step 5: Solve for x
    x = 65,129,065,350.86/276,007.30
  6. Step 6: Final answer
    x = 235,968.63

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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.