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Finding the Fourth Proportional to 375,381.44, 563,108.80 and 109,144

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Solution

The fourth proportional to 375,381.44, 563,108.80 and 109,144 is: 163,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,381.44 : 563,108.80 = 109,144 : x
  2. Step 2: Convert to fraction form
    375,381.44/563,108.80 = 109,144/x
  3. Step 3: Cross multiply
    375,381.44x = 563,108.80 × 109,144
  4. Step 4: Simplify right side
    375,381.44x = 61,459,946,867.20
  5. Step 5: Solve for x
    x = 61,459,946,867.20/375,381.44
  6. Step 6: Final answer
    x = 163,726.65

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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.