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Finding the Fourth Proportional to 398,252.73, 549,585.90 and 216,964.61

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Solution

The fourth proportional to 398,252.73, 549,585.90 and 216,964.61 is: 299,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,252.73 : 549,585.90 = 216,964.61 : x
  2. Step 2: Convert to fraction form
    398,252.73/549,585.90 = 216,964.61/x
  3. Step 3: Cross multiply
    398,252.73x = 549,585.90 × 216,964.61
  4. Step 4: Simplify right side
    398,252.73x = 119,240,687,707.07
  5. Step 5: Solve for x
    x = 119,240,687,707.07/398,252.73
  6. Step 6: Final answer
    x = 299,409.59

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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.