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Finding the Fourth Proportional to 493,746.40, 740,540.40 and 178,040.80

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Solution

The fourth proportional to 493,746.40, 740,540.40 and 178,040.80 is: 267,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,746.40 : 740,540.40 = 178,040.80 : x
  2. Step 2: Convert to fraction form
    493,746.40/740,540.40 = 178,040.80/x
  3. Step 3: Cross multiply
    493,746.40x = 740,540.40 × 178,040.80
  4. Step 4: Simplify right side
    493,746.40x = 131,846,405,248.32
  5. Step 5: Solve for x
    x = 131,846,405,248.32/493,746.40
  6. Step 6: Final answer
    x = 267,032.64

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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.