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Finding the Fourth Proportional to 518,364.27, 715,255.93 and 288,871.20

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Solution

The fourth proportional to 518,364.27, 715,255.93 and 288,871.20 is: 398,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,364.27 : 715,255.93 = 288,871.20 : x
  2. Step 2: Convert to fraction form
    518,364.27/715,255.93 = 288,871.20/x
  3. Step 3: Cross multiply
    518,364.27x = 715,255.93 × 288,871.20
  4. Step 4: Simplify right side
    518,364.27x = 206,616,838,806.22
  5. Step 5: Solve for x
    x = 206,616,838,806.22/518,364.27
  6. Step 6: Final answer
    x = 398,593.91

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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.