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Finding the Fourth Proportional to 310,954.74, 429,139.34 and 175,001.78

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Solution

The fourth proportional to 310,954.74, 429,139.34 and 175,001.78 is: 241,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,954.74 : 429,139.34 = 175,001.78 : x
  2. Step 2: Convert to fraction form
    310,954.74/429,139.34 = 175,001.78/x
  3. Step 3: Cross multiply
    310,954.74x = 429,139.34 × 175,001.78
  4. Step 4: Simplify right side
    310,954.74x = 75,100,145,347.32
  5. Step 5: Solve for x
    x = 75,100,145,347.32/310,954.74
  6. Step 6: Final answer
    x = 241,514.71

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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.