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Finding the Fourth Proportional to 427,449.68, 589,443.72 and 284,233.04

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Solution

The fourth proportional to 427,449.68, 589,443.72 and 284,233.04 is: 391,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,449.68 : 589,443.72 = 284,233.04 : x
  2. Step 2: Convert to fraction form
    427,449.68/589,443.72 = 284,233.04/x
  3. Step 3: Cross multiply
    427,449.68x = 589,443.72 × 284,233.04
  4. Step 4: Simplify right side
    427,449.68x = 167,539,380,444.51
  5. Step 5: Solve for x
    x = 167,539,380,444.51/427,449.68
  6. Step 6: Final answer
    x = 391,951.12

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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.