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Finding the Fourth Proportional to 371,071.64, 512,559.42 and 274,472

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Solution

The fourth proportional to 371,071.64, 512,559.42 and 274,472 is: 379,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,071.64 : 512,559.42 = 274,472 : x
  2. Step 2: Convert to fraction form
    371,071.64/512,559.42 = 274,472/x
  3. Step 3: Cross multiply
    371,071.64x = 512,559.42 × 274,472
  4. Step 4: Simplify right side
    371,071.64x = 140,683,209,126.24
  5. Step 5: Solve for x
    x = 140,683,209,126.24/371,071.64
  6. Step 6: Final answer
    x = 379,126.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.