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Finding the Fourth Proportional to 226,803, 312,988.17 and 123,437.58

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Solution

The fourth proportional to 226,803, 312,988.17 and 123,437.58 is: 170,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,803 : 312,988.17 = 123,437.58 : x
  2. Step 2: Convert to fraction form
    226,803/312,988.17 = 123,437.58/x
  3. Step 3: Cross multiply
    226,803x = 312,988.17 × 123,437.58
  4. Step 4: Simplify right side
    226,803x = 38,634,502,273.43
  5. Step 5: Solve for x
    x = 38,634,502,273.43/226,803
  6. Step 6: Final answer
    x = 170,343.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.