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Finding the Fourth Proportional to 382,674.80, 574,230.90 and 146,187.20

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Solution

The fourth proportional to 382,674.80, 574,230.90 and 146,187.20 is: 219,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,674.80 : 574,230.90 = 146,187.20 : x
  2. Step 2: Convert to fraction form
    382,674.80/574,230.90 = 146,187.20/x
  3. Step 3: Cross multiply
    382,674.80x = 574,230.90 × 146,187.20
  4. Step 4: Simplify right side
    382,674.80x = 83,945,207,424.48
  5. Step 5: Solve for x
    x = 83,945,207,424.48/382,674.80
  6. Step 6: Final answer
    x = 219,364.35

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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.