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Finding the Fourth Proportional to 310,878.95, 428,982.32 and 174,909.89

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Solution

The fourth proportional to 310,878.95, 428,982.32 and 174,909.89 is: 241,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,878.95 : 428,982.32 = 174,909.89 : x
  2. Step 2: Convert to fraction form
    310,878.95/428,982.32 = 174,909.89/x
  3. Step 3: Cross multiply
    310,878.95x = 428,982.32 × 174,909.89
  4. Step 4: Simplify right side
    310,878.95x = 75,033,250,601.05
  5. Step 5: Solve for x
    x = 75,033,250,601.05/310,878.95
  6. Step 6: Final answer
    x = 241,358.41

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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.