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Finding the Fourth Proportional to 428,373.54, 591,148.41 and 234,779.76

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Solution

The fourth proportional to 428,373.54, 591,148.41 and 234,779.76 is: 323,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,373.54 : 591,148.41 = 234,779.76 : x
  2. Step 2: Convert to fraction form
    428,373.54/591,148.41 = 234,779.76/x
  3. Step 3: Cross multiply
    428,373.54x = 591,148.41 × 234,779.76
  4. Step 4: Simplify right side
    428,373.54x = 138,789,681,824.18
  5. Step 5: Solve for x
    x = 138,789,681,824.18/428,373.54
  6. Step 6: Final answer
    x = 323,992.19

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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.