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Finding the Fourth Proportional to 390,560.72, 585,841.12 and 141,184.40

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Solution

The fourth proportional to 390,560.72, 585,841.12 and 141,184.40 is: 211,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,560.72 : 585,841.12 = 141,184.40 : x
  2. Step 2: Convert to fraction form
    390,560.72/585,841.12 = 141,184.40/x
  3. Step 3: Cross multiply
    390,560.72x = 585,841.12 × 141,184.40
  4. Step 4: Simplify right side
    390,560.72x = 82,711,627,022.53
  5. Step 5: Solve for x
    x = 82,711,627,022.53/390,560.72
  6. Step 6: Final answer
    x = 211,776.61

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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.