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Finding the Fourth Proportional to 262,916.76, 394,428.20 and 83,030.30

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Solution

The fourth proportional to 262,916.76, 394,428.20 and 83,030.30 is: 124,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,916.76 : 394,428.20 = 83,030.30 : x
  2. Step 2: Convert to fraction form
    262,916.76/394,428.20 = 83,030.30/x
  3. Step 3: Cross multiply
    262,916.76x = 394,428.20 × 83,030.30
  4. Step 4: Simplify right side
    262,916.76x = 32,749,491,774.46
  5. Step 5: Solve for x
    x = 32,749,491,774.46/262,916.76
  6. Step 6: Final answer
    x = 124,562.21

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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.