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Finding the Fourth Proportional to 523,504.32, 785,489.76 and 274,128

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Solution

The fourth proportional to 523,504.32, 785,489.76 and 274,128 is: 411,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,504.32 : 785,489.76 = 274,128 : x
  2. Step 2: Convert to fraction form
    523,504.32/785,489.76 = 274,128/x
  3. Step 3: Cross multiply
    523,504.32x = 785,489.76 × 274,128
  4. Step 4: Simplify right side
    523,504.32x = 215,324,736,929.28
  5. Step 5: Solve for x
    x = 215,324,736,929.28/523,504.32
  6. Step 6: Final answer
    x = 411,314.15

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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.