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Finding the Fourth Proportional to 398,462.33, 549,862.07 and 217,170.47

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Solution

The fourth proportional to 398,462.33, 549,862.07 and 217,170.47 is: 299,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,462.33 : 549,862.07 = 217,170.47 : x
  2. Step 2: Convert to fraction form
    398,462.33/549,862.07 = 217,170.47/x
  3. Step 3: Cross multiply
    398,462.33x = 549,862.07 × 217,170.47
  4. Step 4: Simplify right side
    398,462.33x = 119,413,800,341.91
  5. Step 5: Solve for x
    x = 119,413,800,341.91/398,462.33
  6. Step 6: Final answer
    x = 299,686.55

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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.