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Finding the Fourth Proportional to 398,037.52, 549,305.36 and 216,752.56

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Solution

The fourth proportional to 398,037.52, 549,305.36 and 216,752.56 is: 299,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,037.52 : 549,305.36 = 216,752.56 : x
  2. Step 2: Convert to fraction form
    398,037.52/549,305.36 = 216,752.56/x
  3. Step 3: Cross multiply
    398,037.52x = 549,305.36 × 216,752.56
  4. Step 4: Simplify right side
    398,037.52x = 119,063,343,001.72
  5. Step 5: Solve for x
    x = 119,063,343,001.72/398,037.52
  6. Step 6: Final answer
    x = 299,125.93

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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.