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Finding the Fourth Proportional to 306,437.52, 459,658.23 and 106,761.63

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Solution

The fourth proportional to 306,437.52, 459,658.23 and 106,761.63 is: 160,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,437.52 : 459,658.23 = 106,761.63 : x
  2. Step 2: Convert to fraction form
    306,437.52/459,658.23 = 106,761.63/x
  3. Step 3: Cross multiply
    306,437.52x = 459,658.23 × 106,761.63
  4. Step 4: Simplify right side
    306,437.52x = 49,073,861,877.71
  5. Step 5: Solve for x
    x = 49,073,861,877.71/306,437.52
  6. Step 6: Final answer
    x = 160,143.12

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1.5x scale

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.