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Finding the Fourth Proportional to 385,522.61, 578,345.87 and 132,740.94

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Solution

The fourth proportional to 385,522.61, 578,345.87 and 132,740.94 is: 199,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,522.61 : 578,345.87 = 132,740.94 : x
  2. Step 2: Convert to fraction form
    385,522.61/578,345.87 = 132,740.94/x
  3. Step 3: Cross multiply
    385,522.61x = 578,345.87 × 132,740.94
  4. Step 4: Simplify right side
    385,522.61x = 76,770,176,929.57
  5. Step 5: Solve for x
    x = 76,770,176,929.57/385,522.61
  6. Step 6: Final answer
    x = 199,132.75

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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.