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Finding the Fourth Proportional to 305,704.80, 458,557.20 and 95,342.40

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Solution

The fourth proportional to 305,704.80, 458,557.20 and 95,342.40 is: 143,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,704.80 : 458,557.20 = 95,342.40 : x
  2. Step 2: Convert to fraction form
    305,704.80/458,557.20 = 95,342.40/x
  3. Step 3: Cross multiply
    305,704.80x = 458,557.20 × 95,342.40
  4. Step 4: Simplify right side
    305,704.80x = 43,719,943,985.28
  5. Step 5: Solve for x
    x = 43,719,943,985.28/305,704.80
  6. Step 6: Final answer
    x = 143,013.60

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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.