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Finding the Fourth Proportional to 312,156.41, 468,235.82 and 75,498.71

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Solution

The fourth proportional to 312,156.41, 468,235.82 and 75,498.71 is: 113,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,156.41 : 468,235.82 = 75,498.71 : x
  2. Step 2: Convert to fraction form
    312,156.41/468,235.82 = 75,498.71/x
  3. Step 3: Cross multiply
    312,156.41x = 468,235.82 × 75,498.71
  4. Step 4: Simplify right side
    312,156.41x = 35,351,198,233.36
  5. Step 5: Solve for x
    x = 35,351,198,233.36/312,156.41
  6. Step 6: Final answer
    x = 113,248.35

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1.5x scale

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.