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Finding the Fourth Proportional to 518,397.41, 715,391.91 and 288,969.54

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Solution

The fourth proportional to 518,397.41, 715,391.91 and 288,969.54 is: 398,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,397.41 : 715,391.91 = 288,969.54 : x
  2. Step 2: Convert to fraction form
    518,397.41/715,391.91 = 288,969.54/x
  3. Step 3: Cross multiply
    518,397.41x = 715,391.91 × 288,969.54
  4. Step 4: Simplify right side
    518,397.41x = 206,726,471,152.42
  5. Step 5: Solve for x
    x = 206,726,471,152.42/518,397.41
  6. Step 6: Final answer
    x = 398,779.91

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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.