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Finding the Fourth Proportional to 427,265.40, 640,700.76 and 157,325.75

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Solution

The fourth proportional to 427,265.40, 640,700.76 and 157,325.75 is: 235,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,265.40 : 640,700.76 = 157,325.75 : x
  2. Step 2: Convert to fraction form
    427,265.40/640,700.76 = 157,325.75/x
  3. Step 3: Cross multiply
    427,265.40x = 640,700.76 × 157,325.75
  4. Step 4: Simplify right side
    427,265.40x = 100,798,724,389.07
  5. Step 5: Solve for x
    x = 100,798,724,389.07/427,265.40
  6. Step 6: Final answer
    x = 235,915.95

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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.