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Finding the Fourth Proportional to 399,051.29, 598,239.84 and 185,709.13

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Solution

The fourth proportional to 399,051.29, 598,239.84 and 185,709.13 is: 278,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,051.29 : 598,239.84 = 185,709.13 : x
  2. Step 2: Convert to fraction form
    399,051.29/598,239.84 = 185,709.13/x
  3. Step 3: Cross multiply
    399,051.29x = 598,239.84 × 185,709.13
  4. Step 4: Simplify right side
    399,051.29x = 111,098,600,217.74
  5. Step 5: Solve for x
    x = 111,098,600,217.74/399,051.29
  6. Step 6: Final answer
    x = 278,406.82

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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.