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Finding the Fourth Proportional to 385,053.01, 577,431.59 and 132,286.23

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Solution

The fourth proportional to 385,053.01, 577,431.59 and 132,286.23 is: 198,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,053.01 : 577,431.59 = 132,286.23 : x
  2. Step 2: Convert to fraction form
    385,053.01/577,431.59 = 132,286.23/x
  3. Step 3: Cross multiply
    385,053.01x = 577,431.59 × 132,286.23
  4. Step 4: Simplify right side
    385,053.01x = 76,386,247,462.57
  5. Step 5: Solve for x
    x = 76,386,247,462.57/385,053.01
  6. Step 6: Final answer
    x = 198,378.52

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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.