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Finding the Fourth Proportional to 399,817.76, 599,726.32 and 133,528.48

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Solution

The fourth proportional to 399,817.76, 599,726.32 and 133,528.48 is: 200,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,817.76 : 599,726.32 = 133,528.48 : x
  2. Step 2: Convert to fraction form
    399,817.76/599,726.32 = 133,528.48/x
  3. Step 3: Cross multiply
    399,817.76x = 599,726.32 × 133,528.48
  4. Step 4: Simplify right side
    399,817.76x = 80,080,543,925.59
  5. Step 5: Solve for x
    x = 80,080,543,925.59/399,817.76
  6. Step 6: Final answer
    x = 200,292.61

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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.