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Finding the Fourth Proportional to 305,843.60, 458,838.30 and 147,942.20

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Solution

The fourth proportional to 305,843.60, 458,838.30 and 147,942.20 is: 221,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,843.60 : 458,838.30 = 147,942.20 : x
  2. Step 2: Convert to fraction form
    305,843.60/458,838.30 = 147,942.20/x
  3. Step 3: Cross multiply
    305,843.60x = 458,838.30 × 147,942.20
  4. Step 4: Simplify right side
    305,843.60x = 67,881,547,546.26
  5. Step 5: Solve for x
    x = 67,881,547,546.26/305,843.60
  6. Step 6: Final answer
    x = 221,948.56

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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.