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Finding the Fourth Proportional to 491,509.56, 737,442.06 and 171,708.84

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Solution

The fourth proportional to 491,509.56, 737,442.06 and 171,708.84 is: 257,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,509.56 : 737,442.06 = 171,708.84 : x
  2. Step 2: Convert to fraction form
    491,509.56/737,442.06 = 171,708.84/x
  3. Step 3: Cross multiply
    491,509.56x = 737,442.06 × 171,708.84
  4. Step 4: Simplify right side
    491,509.56x = 126,625,320,689.81
  5. Step 5: Solve for x
    x = 126,625,320,689.81/491,509.56
  6. Step 6: Final answer
    x = 257,625.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.