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Finding the Fourth Proportional to 408,053.90, 611,643.45 and 155,236.70

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Solution

The fourth proportional to 408,053.90, 611,643.45 and 155,236.70 is: 232,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.90 : 611,643.45 = 155,236.70 : x
  2. Step 2: Convert to fraction form
    408,053.90/611,643.45 = 155,236.70/x
  3. Step 3: Cross multiply
    408,053.90x = 611,643.45 × 155,236.70
  4. Step 4: Simplify right side
    408,053.90x = 94,949,510,754.62
  5. Step 5: Solve for x
    x = 94,949,510,754.62/408,053.90
  6. Step 6: Final answer
    x = 232,688.65

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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.