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Finding the Fourth Proportional to 427,275.76, 640,915.02 and 160,964.76

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Solution

The fourth proportional to 427,275.76, 640,915.02 and 160,964.76 is: 241,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,275.76 : 640,915.02 = 160,964.76 : x
  2. Step 2: Convert to fraction form
    427,275.76/640,915.02 = 160,964.76/x
  3. Step 3: Cross multiply
    427,275.76x = 640,915.02 × 160,964.76
  4. Step 4: Simplify right side
    427,275.76x = 103,164,732,374.70
  5. Step 5: Solve for x
    x = 103,164,732,374.70/427,275.76
  6. Step 6: Final answer
    x = 241,447.66

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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.