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Finding the Fourth Proportional to 390,659.20, 585,988.80 and 141,282.88

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Solution

The fourth proportional to 390,659.20, 585,988.80 and 141,282.88 is: 211,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,659.20 : 585,988.80 = 141,282.88 : x
  2. Step 2: Convert to fraction form
    390,659.20/585,988.80 = 141,282.88/x
  3. Step 3: Cross multiply
    390,659.20x = 585,988.80 × 141,282.88
  4. Step 4: Simplify right side
    390,659.20x = 82,790,185,311.74
  5. Step 5: Solve for x
    x = 82,790,185,311.74/390,659.20
  6. Step 6: Final answer
    x = 211,924.32

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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.