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Finding the Fourth Proportional to 410,169.40, 615,254.10 and 188,985.40

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Solution

The fourth proportional to 410,169.40, 615,254.10 and 188,985.40 is: 283,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,169.40 : 615,254.10 = 188,985.40 : x
  2. Step 2: Convert to fraction form
    410,169.40/615,254.10 = 188,985.40/x
  3. Step 3: Cross multiply
    410,169.40x = 615,254.10 × 188,985.40
  4. Step 4: Simplify right side
    410,169.40x = 116,274,042,190.14
  5. Step 5: Solve for x
    x = 116,274,042,190.14/410,169.40
  6. Step 6: Final answer
    x = 283,478.10

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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.