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Finding the Fourth Proportional to 427,565.40, 640,947.15 and 161,504.70

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Solution

The fourth proportional to 427,565.40, 640,947.15 and 161,504.70 is: 242,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,565.40 : 640,947.15 = 161,504.70 : x
  2. Step 2: Convert to fraction form
    427,565.40/640,947.15 = 161,504.70/x
  3. Step 3: Cross multiply
    427,565.40x = 640,947.15 × 161,504.70
  4. Step 4: Simplify right side
    427,565.40x = 103,515,977,176.61
  5. Step 5: Solve for x
    x = 103,515,977,176.61/427,565.40
  6. Step 6: Final answer
    x = 242,105.60

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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.