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Finding the Fourth Proportional to 397,897.57, 549,105.65 and 216,614.71

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Solution

The fourth proportional to 397,897.57, 549,105.65 and 216,614.71 is: 298,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,897.57 : 549,105.65 = 216,614.71 : x
  2. Step 2: Convert to fraction form
    397,897.57/549,105.65 = 216,614.71/x
  3. Step 3: Cross multiply
    397,897.57x = 549,105.65 × 216,614.71
  4. Step 4: Simplify right side
    397,897.57x = 118,944,361,134.11
  5. Step 5: Solve for x
    x = 118,944,361,134.11/397,897.57
  6. Step 6: Final answer
    x = 298,932.11

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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.