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Finding the Fourth Proportional to 397,109, 595,737.30 and 130,888.22

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Solution

The fourth proportional to 397,109, 595,737.30 and 130,888.22 is: 196,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,109 : 595,737.30 = 130,888.22 : x
  2. Step 2: Convert to fraction form
    397,109/595,737.30 = 130,888.22/x
  3. Step 3: Cross multiply
    397,109x = 595,737.30 × 130,888.22
  4. Step 4: Simplify right side
    397,109x = 77,974,994,784.61
  5. Step 5: Solve for x
    x = 77,974,994,784.61/397,109
  6. Step 6: Final answer
    x = 196,356.65

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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.