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Finding the Fourth Proportional to 389,644.29, 537,712.47 and 224,097.21

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Solution

The fourth proportional to 389,644.29, 537,712.47 and 224,097.21 is: 309,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,644.29 : 537,712.47 = 224,097.21 : x
  2. Step 2: Convert to fraction form
    389,644.29/537,712.47 = 224,097.21/x
  3. Step 3: Cross multiply
    389,644.29x = 537,712.47 × 224,097.21
  4. Step 4: Simplify right side
    389,644.29x = 120,499,864,309.21
  5. Step 5: Solve for x
    x = 120,499,864,309.21/389,644.29
  6. Step 6: Final answer
    x = 309,256.08

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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.