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Finding the Fourth Proportional to 310,702.86, 428,765.86 and 174,736.76

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Solution

The fourth proportional to 310,702.86, 428,765.86 and 174,736.76 is: 241,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,702.86 : 428,765.86 = 174,736.76 : x
  2. Step 2: Convert to fraction form
    310,702.86/428,765.86 = 174,736.76/x
  3. Step 3: Cross multiply
    310,702.86x = 428,765.86 × 174,736.76
  4. Step 4: Simplify right side
    310,702.86x = 74,921,157,175.01
  5. Step 5: Solve for x
    x = 74,921,157,175.01/310,702.86
  6. Step 6: Final answer
    x = 241,134.43

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1.5x scale

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.