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Finding the Fourth Proportional to 518,186.50, 715,078.44 and 288,731.92

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Solution

The fourth proportional to 518,186.50, 715,078.44 and 288,731.92 is: 398,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,186.50 : 715,078.44 = 288,731.92 : x
  2. Step 2: Convert to fraction form
    518,186.50/715,078.44 = 288,731.92/x
  3. Step 3: Cross multiply
    518,186.50x = 715,078.44 × 288,731.92
  4. Step 4: Simplify right side
    518,186.50x = 206,465,970,931.81
  5. Step 5: Solve for x
    x = 206,465,970,931.81/518,186.50
  6. Step 6: Final answer
    x = 398,439.50

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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.