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Finding the Fourth Proportional to 385,405, 578,146.36 and 132,652.20

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Solution

The fourth proportional to 385,405, 578,146.36 and 132,652.20 is: 198,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,405 : 578,146.36 = 132,652.20 : x
  2. Step 2: Convert to fraction form
    385,405/578,146.36 = 132,652.20/x
  3. Step 3: Cross multiply
    385,405x = 578,146.36 × 132,652.20
  4. Step 4: Simplify right side
    385,405x = 76,692,386,575.99
  5. Step 5: Solve for x
    x = 76,692,386,575.99/385,405
  6. Step 6: Final answer
    x = 198,991.68

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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.