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Finding the Fourth Proportional to 398,031.29, 549,293.03 and 216,753.15

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Solution

The fourth proportional to 398,031.29, 549,293.03 and 216,753.15 is: 299,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,031.29 : 549,293.03 = 216,753.15 : x
  2. Step 2: Convert to fraction form
    398,031.29/549,293.03 = 216,753.15/x
  3. Step 3: Cross multiply
    398,031.29x = 549,293.03 × 216,753.15
  4. Step 4: Simplify right side
    398,031.29x = 119,060,994,525.55
  5. Step 5: Solve for x
    x = 119,060,994,525.55/398,031.29
  6. Step 6: Final answer
    x = 299,124.71

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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.