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Finding the Fourth Proportional to 261,289.86, 391,657.32 and 166,221

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Solution

The fourth proportional to 261,289.86, 391,657.32 and 166,221 is: 249,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,289.86 : 391,657.32 = 166,221 : x
  2. Step 2: Convert to fraction form
    261,289.86/391,657.32 = 166,221/x
  3. Step 3: Cross multiply
    261,289.86x = 391,657.32 × 166,221
  4. Step 4: Simplify right side
    261,289.86x = 65,101,671,387.72
  5. Step 5: Solve for x
    x = 65,101,671,387.72/261,289.86
  6. Step 6: Final answer
    x = 249,154.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.