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Finding the Fourth Proportional to 549,463.68, 824,429.25 and 212,740.85

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Solution

The fourth proportional to 549,463.68, 824,429.25 and 212,740.85 is: 319,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,463.68 : 824,429.25 = 212,740.85 : x
  2. Step 2: Convert to fraction form
    549,463.68/824,429.25 = 212,740.85/x
  3. Step 3: Cross multiply
    549,463.68x = 824,429.25 × 212,740.85
  4. Step 4: Simplify right side
    549,463.68x = 175,389,781,470.94
  5. Step 5: Solve for x
    x = 175,389,781,470.94/549,463.68
  6. Step 6: Final answer
    x = 319,201.77

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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.