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Finding the Fourth Proportional to 389,423.76, 537,431.78 and 217,375.20

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Solution

The fourth proportional to 389,423.76, 537,431.78 and 217,375.20 is: 299,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,423.76 : 537,431.78 = 217,375.20 : x
  2. Step 2: Convert to fraction form
    389,423.76/537,431.78 = 217,375.20/x
  3. Step 3: Cross multiply
    389,423.76x = 537,431.78 × 217,375.20
  4. Step 4: Simplify right side
    389,423.76x = 116,824,340,663.86
  5. Step 5: Solve for x
    x = 116,824,340,663.86/389,423.76
  6. Step 6: Final answer
    x = 299,992.84

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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.