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Finding the Fourth Proportional to 427,265.90, 640,701.51 and 157,326.25

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Solution

The fourth proportional to 427,265.90, 640,701.51 and 157,326.25 is: 235,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,265.90 : 640,701.51 = 157,326.25 : x
  2. Step 2: Convert to fraction form
    427,265.90/640,701.51 = 157,326.25/x
  3. Step 3: Cross multiply
    427,265.90x = 640,701.51 × 157,326.25
  4. Step 4: Simplify right side
    427,265.90x = 100,799,162,734.13
  5. Step 5: Solve for x
    x = 100,799,162,734.13/427,265.90
  6. Step 6: Final answer
    x = 235,916.70

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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.