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Finding the Fourth Proportional to 393,178.50, 589,767.84 and 97,690.50

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Solution

The fourth proportional to 393,178.50, 589,767.84 and 97,690.50 is: 146,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,178.50 : 589,767.84 = 97,690.50 : x
  2. Step 2: Convert to fraction form
    393,178.50/589,767.84 = 97,690.50/x
  3. Step 3: Cross multiply
    393,178.50x = 589,767.84 × 97,690.50
  4. Step 4: Simplify right side
    393,178.50x = 57,614,715,173.52
  5. Step 5: Solve for x
    x = 57,614,715,173.52/393,178.50
  6. Step 6: Final answer
    x = 146,535.77

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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.