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Finding the Fourth Proportional to 305,742.60, 458,686.80 and 147,841.20

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Solution

The fourth proportional to 305,742.60, 458,686.80 and 147,841.20 is: 221,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,742.60 : 458,686.80 = 147,841.20 : x
  2. Step 2: Convert to fraction form
    305,742.60/458,686.80 = 147,841.20/x
  3. Step 3: Cross multiply
    305,742.60x = 458,686.80 × 147,841.20
  4. Step 4: Simplify right side
    305,742.60x = 67,812,806,936.16
  5. Step 5: Solve for x
    x = 67,812,806,936.16/305,742.60
  6. Step 6: Final answer
    x = 221,797.05

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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.