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Finding the Fourth Proportional to 398,031.80, 549,293.72 and 216,753.66

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Solution

The fourth proportional to 398,031.80, 549,293.72 and 216,753.66 is: 299,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,031.80 : 549,293.72 = 216,753.66 : x
  2. Step 2: Convert to fraction form
    398,031.80/549,293.72 = 216,753.66/x
  3. Step 3: Cross multiply
    398,031.80x = 549,293.72 × 216,753.66
  4. Step 4: Simplify right side
    398,031.80x = 119,061,423,141.25
  5. Step 5: Solve for x
    x = 119,061,423,141.25/398,031.80
  6. Step 6: Final answer
    x = 299,125.41

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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.