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Finding the Fourth Proportional to 307,541.92, 461,389.68 and 85,924

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Solution

The fourth proportional to 307,541.92, 461,389.68 and 85,924 is: 128,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,541.92 : 461,389.68 = 85,924 : x
  2. Step 2: Convert to fraction form
    307,541.92/461,389.68 = 85,924/x
  3. Step 3: Cross multiply
    307,541.92x = 461,389.68 × 85,924
  4. Step 4: Simplify right side
    307,541.92x = 39,644,446,864.32
  5. Step 5: Solve for x
    x = 39,644,446,864.32/307,541.92
  6. Step 6: Final answer
    x = 128,907.46

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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.