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Finding the Fourth Proportional to 305,239.80, 457,730.10 and 147,516.60

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Solution

The fourth proportional to 305,239.80, 457,730.10 and 147,516.60 is: 221,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,239.80 : 457,730.10 = 147,516.60 : x
  2. Step 2: Convert to fraction form
    305,239.80/457,730.10 = 147,516.60/x
  3. Step 3: Cross multiply
    305,239.80x = 457,730.10 × 147,516.60
  4. Step 4: Simplify right side
    305,239.80x = 67,522,788,069.66
  5. Step 5: Solve for x
    x = 67,522,788,069.66/305,239.80
  6. Step 6: Final answer
    x = 221,212.27

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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.