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Finding the Fourth Proportional to 523,760.21, 785,515.74 and 144,672.56

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Solution

The fourth proportional to 523,760.21, 785,515.74 and 144,672.56 is: 216,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,760.21 : 785,515.74 = 144,672.56 : x
  2. Step 2: Convert to fraction form
    523,760.21/785,515.74 = 144,672.56/x
  3. Step 3: Cross multiply
    523,760.21x = 785,515.74 × 144,672.56
  4. Step 4: Simplify right side
    523,760.21x = 113,642,569,098.52
  5. Step 5: Solve for x
    x = 113,642,569,098.52/523,760.21
  6. Step 6: Final answer
    x = 216,974.42

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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.