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Finding the Fourth Proportional to 409,960.40, 615,094.20 and 160,821.20

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Solution

The fourth proportional to 409,960.40, 615,094.20 and 160,821.20 is: 241,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,960.40 : 615,094.20 = 160,821.20 : x
  2. Step 2: Convert to fraction form
    409,960.40/615,094.20 = 160,821.20/x
  3. Step 3: Cross multiply
    409,960.40x = 615,094.20 × 160,821.20
  4. Step 4: Simplify right side
    409,960.40x = 98,920,187,357.04
  5. Step 5: Solve for x
    x = 98,920,187,357.04/409,960.40
  6. Step 6: Final answer
    x = 241,292.05

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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.