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Finding the Fourth Proportional to 392,840.68, 589,519.28 and 215,472

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Solution

The fourth proportional to 392,840.68, 589,519.28 and 215,472 is: 323,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,840.68 : 589,519.28 = 215,472 : x
  2. Step 2: Convert to fraction form
    392,840.68/589,519.28 = 215,472/x
  3. Step 3: Cross multiply
    392,840.68x = 589,519.28 × 215,472
  4. Step 4: Simplify right side
    392,840.68x = 127,024,898,300.16
  5. Step 5: Solve for x
    x = 127,024,898,300.16/392,840.68
  6. Step 6: Final answer
    x = 323,349.65

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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.