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Finding the Fourth Proportional to 307,042.92, 460,214.46 and 140,481

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Solution

The fourth proportional to 307,042.92, 460,214.46 and 140,481 is: 210,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,042.92 : 460,214.46 = 140,481 : x
  2. Step 2: Convert to fraction form
    307,042.92/460,214.46 = 140,481/x
  3. Step 3: Cross multiply
    307,042.92x = 460,214.46 × 140,481
  4. Step 4: Simplify right side
    307,042.92x = 64,651,387,555.26
  5. Step 5: Solve for x
    x = 64,651,387,555.26/307,042.92
  6. Step 6: Final answer
    x = 210,561.40

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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.