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Finding the Fourth Proportional to 307,428.22, 461,123.70 and 115,264.72

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Solution

The fourth proportional to 307,428.22, 461,123.70 and 115,264.72 is: 172,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,428.22 : 461,123.70 = 115,264.72 : x
  2. Step 2: Convert to fraction form
    307,428.22/461,123.70 = 115,264.72/x
  3. Step 3: Cross multiply
    307,428.22x = 461,123.70 × 115,264.72
  4. Step 4: Simplify right side
    307,428.22x = 53,151,294,165.86
  5. Step 5: Solve for x
    x = 53,151,294,165.86/307,428.22
  6. Step 6: Final answer
    x = 172,890.10

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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.