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Finding the Fourth Proportional to 380,746, 571,122.96 and 156,048.76

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Solution

The fourth proportional to 380,746, 571,122.96 and 156,048.76 is: 234,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,746 : 571,122.96 = 156,048.76 : x
  2. Step 2: Convert to fraction form
    380,746/571,122.96 = 156,048.76/x
  3. Step 3: Cross multiply
    380,746x = 571,122.96 × 156,048.76
  4. Step 4: Simplify right side
    380,746x = 89,123,029,715.53
  5. Step 5: Solve for x
    x = 89,123,029,715.53/380,746
  6. Step 6: Final answer
    x = 234,074.76

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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.