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Finding the Fourth Proportional to 410,381.84, 615,572.06 and 228,128.60

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Solution

The fourth proportional to 410,381.84, 615,572.06 and 228,128.60 is: 342,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,381.84 : 615,572.06 = 228,128.60 : x
  2. Step 2: Convert to fraction form
    410,381.84/615,572.06 = 228,128.60/x
  3. Step 3: Cross multiply
    410,381.84x = 615,572.06 × 228,128.60
  4. Step 4: Simplify right side
    410,381.84x = 140,429,592,645.20
  5. Step 5: Solve for x
    x = 140,429,592,645.20/410,381.84
  6. Step 6: Final answer
    x = 342,192.51

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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.