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Finding the Fourth Proportional to 385,387.60, 578,081.40 and 136,094.80

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Solution

The fourth proportional to 385,387.60, 578,081.40 and 136,094.80 is: 204,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,387.60 : 578,081.40 = 136,094.80 : x
  2. Step 2: Convert to fraction form
    385,387.60/578,081.40 = 136,094.80/x
  3. Step 3: Cross multiply
    385,387.60x = 578,081.40 × 136,094.80
  4. Step 4: Simplify right side
    385,387.60x = 78,673,872,516.72
  5. Step 5: Solve for x
    x = 78,673,872,516.72/385,387.60
  6. Step 6: Final answer
    x = 204,142.20

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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.