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Finding the Fourth Proportional to 305,454.80, 458,052.60 and 147,731.60

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Solution

The fourth proportional to 305,454.80, 458,052.60 and 147,731.60 is: 221,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,454.80 : 458,052.60 = 147,731.60 : x
  2. Step 2: Convert to fraction form
    305,454.80/458,052.60 = 147,731.60/x
  3. Step 3: Cross multiply
    305,454.80x = 458,052.60 × 147,731.60
  4. Step 4: Simplify right side
    305,454.80x = 67,668,843,482.16
  5. Step 5: Solve for x
    x = 67,668,843,482.16/305,454.80
  6. Step 6: Final answer
    x = 221,534.72

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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.