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Finding the Fourth Proportional to 305,842.60, 458,836.80 and 147,941.20

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Solution

The fourth proportional to 305,842.60, 458,836.80 and 147,941.20 is: 221,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,842.60 : 458,836.80 = 147,941.20 : x
  2. Step 2: Convert to fraction form
    305,842.60/458,836.80 = 147,941.20/x
  3. Step 3: Cross multiply
    305,842.60x = 458,836.80 × 147,941.20
  4. Step 4: Simplify right side
    305,842.60x = 67,880,866,796.16
  5. Step 5: Solve for x
    x = 67,880,866,796.16/305,842.60
  6. Step 6: Final answer
    x = 221,947.06

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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.