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Finding the Fourth Proportional to 518,152.41, 715,039.56 and 288,708.78

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Solution

The fourth proportional to 518,152.41, 715,039.56 and 288,708.78 is: 398,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,152.41 : 715,039.56 = 288,708.78 : x
  2. Step 2: Convert to fraction form
    518,152.41/715,039.56 = 288,708.78/x
  3. Step 3: Cross multiply
    518,152.41x = 715,039.56 × 288,708.78
  4. Step 4: Simplify right side
    518,152.41x = 206,438,196,337.94
  5. Step 5: Solve for x
    x = 206,438,196,337.94/518,152.41
  6. Step 6: Final answer
    x = 398,412.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.