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Finding the Fourth Proportional to 253,872.86, 380,888.88 and 152,781.20

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Solution

The fourth proportional to 253,872.86, 380,888.88 and 152,781.20 is: 229,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,872.86 : 380,888.88 = 152,781.20 : x
  2. Step 2: Convert to fraction form
    253,872.86/380,888.88 = 152,781.20/x
  3. Step 3: Cross multiply
    253,872.86x = 380,888.88 × 152,781.20
  4. Step 4: Simplify right side
    253,872.86x = 58,192,660,153.06
  5. Step 5: Solve for x
    x = 58,192,660,153.06/253,872.86
  6. Step 6: Final answer
    x = 229,219.70

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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.