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Finding the Fourth Proportional to 397,446.32, 596,328.78 and 144,744.40

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Solution

The fourth proportional to 397,446.32, 596,328.78 and 144,744.40 is: 217,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,446.32 : 596,328.78 = 144,744.40 : x
  2. Step 2: Convert to fraction form
    397,446.32/596,328.78 = 144,744.40/x
  3. Step 3: Cross multiply
    397,446.32x = 596,328.78 × 144,744.40
  4. Step 4: Simplify right side
    397,446.32x = 86,315,251,463.83
  5. Step 5: Solve for x
    x = 86,315,251,463.83/397,446.32
  6. Step 6: Final answer
    x = 217,174.61

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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.