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Finding the Fourth Proportional to 305,107.80, 457,532.10 and 147,384.60

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Solution

The fourth proportional to 305,107.80, 457,532.10 and 147,384.60 is: 221,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107.80 : 457,532.10 = 147,384.60 : x
  2. Step 2: Convert to fraction form
    305,107.80/457,532.10 = 147,384.60/x
  3. Step 3: Cross multiply
    305,107.80x = 457,532.10 × 147,384.60
  4. Step 4: Simplify right side
    305,107.80x = 67,433,185,545.66
  5. Step 5: Solve for x
    x = 67,433,185,545.66/305,107.80
  6. Step 6: Final answer
    x = 221,014.30

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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.