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Finding the Fourth Proportional to 385,712.91, 578,607.43 and 132,960.12

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Solution

The fourth proportional to 385,712.91, 578,607.43 and 132,960.12 is: 199,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,712.91 : 578,607.43 = 132,960.12 : x
  2. Step 2: Convert to fraction form
    385,712.91/578,607.43 = 132,960.12/x
  3. Step 3: Cross multiply
    385,712.91x = 578,607.43 × 132,960.12
  4. Step 4: Simplify right side
    385,712.91x = 76,931,713,325.69
  5. Step 5: Solve for x
    x = 76,931,713,325.69/385,712.91
  6. Step 6: Final answer
    x = 199,453.30

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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.