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Finding the Fourth Proportional to 385,613.68, 578,498.64 and 136,470.64

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Solution

The fourth proportional to 385,613.68, 578,498.64 and 136,470.64 is: 204,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,613.68 : 578,498.64 = 136,470.64 : x
  2. Step 2: Convert to fraction form
    385,613.68/578,498.64 = 136,470.64/x
  3. Step 3: Cross multiply
    385,613.68x = 578,498.64 × 136,470.64
  4. Step 4: Simplify right side
    385,613.68x = 78,948,079,639.93
  5. Step 5: Solve for x
    x = 78,948,079,639.93/385,613.68
  6. Step 6: Final answer
    x = 204,733.61

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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.