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Finding the Fourth Proportional to 392,686.30, 589,029.45 and 363,817.90

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Solution

The fourth proportional to 392,686.30, 589,029.45 and 363,817.90 is: 545,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,686.30 : 589,029.45 = 363,817.90 : x
  2. Step 2: Convert to fraction form
    392,686.30/589,029.45 = 363,817.90/x
  3. Step 3: Cross multiply
    392,686.30x = 589,029.45 × 363,817.90
  4. Step 4: Simplify right side
    392,686.30x = 214,299,457,537.16
  5. Step 5: Solve for x
    x = 214,299,457,537.16/392,686.30
  6. Step 6: Final answer
    x = 545,726.85

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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.