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Finding the Fourth Proportional to 307,211.10, 460,816.65 and 282,327.90

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Solution

The fourth proportional to 307,211.10, 460,816.65 and 282,327.90 is: 423,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,211.10 : 460,816.65 = 282,327.90 : x
  2. Step 2: Convert to fraction form
    307,211.10/460,816.65 = 282,327.90/x
  3. Step 3: Cross multiply
    307,211.10x = 460,816.65 × 282,327.90
  4. Step 4: Simplify right side
    307,211.10x = 130,101,397,079.54
  5. Step 5: Solve for x
    x = 130,101,397,079.54/307,211.10
  6. Step 6: Final answer
    x = 423,491.85

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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.