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Finding the Fourth Proportional to 400,432.68, 552,591.92 and 219,141.32

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Solution

The fourth proportional to 400,432.68, 552,591.92 and 219,141.32 is: 302,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,432.68 : 552,591.92 = 219,141.32 : x
  2. Step 2: Convert to fraction form
    400,432.68/552,591.92 = 219,141.32/x
  3. Step 3: Cross multiply
    400,432.68x = 552,591.92 × 219,141.32
  4. Step 4: Simplify right side
    400,432.68x = 121,095,720,555.03
  5. Step 5: Solve for x
    x = 121,095,720,555.03/400,432.68
  6. Step 6: Final answer
    x = 302,412.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.