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Finding the Fourth Proportional to 310,412.32, 428,377.62 and 174,458.68

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Solution

The fourth proportional to 310,412.32, 428,377.62 and 174,458.68 is: 240,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,412.32 : 428,377.62 = 174,458.68 : x
  2. Step 2: Convert to fraction form
    310,412.32/428,377.62 = 174,458.68/x
  3. Step 3: Cross multiply
    310,412.32x = 428,377.62 × 174,458.68
  4. Step 4: Simplify right side
    310,412.32x = 74,734,194,126.74
  5. Step 5: Solve for x
    x = 74,734,194,126.74/310,412.32
  6. Step 6: Final answer
    x = 240,757.82

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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.