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Finding the Fourth Proportional to 425,180, 637,799.16 and 140,870

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Solution

The fourth proportional to 425,180, 637,799.16 and 140,870 is: 211,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,180 : 637,799.16 = 140,870 : x
  2. Step 2: Convert to fraction form
    425,180/637,799.16 = 140,870/x
  3. Step 3: Cross multiply
    425,180x = 637,799.16 × 140,870
  4. Step 4: Simplify right side
    425,180x = 89,846,767,669.20
  5. Step 5: Solve for x
    x = 89,846,767,669.20/425,180
  6. Step 6: Final answer
    x = 211,314.66

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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.