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Finding the Fourth Proportional to 312,737.49, 469,106.25 and 125,705.25

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Solution

The fourth proportional to 312,737.49, 469,106.25 and 125,705.25 is: 188,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,737.49 : 469,106.25 = 125,705.25 : x
  2. Step 2: Convert to fraction form
    312,737.49/469,106.25 = 125,705.25/x
  3. Step 3: Cross multiply
    312,737.49x = 469,106.25 × 125,705.25
  4. Step 4: Simplify right side
    312,737.49x = 58,969,118,432.81
  5. Step 5: Solve for x
    x = 58,969,118,432.81/312,737.49
  6. Step 6: Final answer
    x = 188,557.88

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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.