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Finding the Fourth Proportional to 407,488.32, 611,232.72 and 141,248.88

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Solution

The fourth proportional to 407,488.32, 611,232.72 and 141,248.88 is: 211,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,488.32 : 611,232.72 = 141,248.88 : x
  2. Step 2: Convert to fraction form
    407,488.32/611,232.72 = 141,248.88/x
  3. Step 3: Cross multiply
    407,488.32x = 611,232.72 × 141,248.88
  4. Step 4: Simplify right side
    407,488.32x = 86,335,937,119.35
  5. Step 5: Solve for x
    x = 86,335,937,119.35/407,488.32
  6. Step 6: Final answer
    x = 211,873.40

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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.