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Finding the Fourth Proportional to 462,475.48, 638,319.12 and 281,149

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Solution

The fourth proportional to 462,475.48, 638,319.12 and 281,149 is: 388,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,475.48 : 638,319.12 = 281,149 : x
  2. Step 2: Convert to fraction form
    462,475.48/638,319.12 = 281,149/x
  3. Step 3: Cross multiply
    462,475.48x = 638,319.12 × 281,149
  4. Step 4: Simplify right side
    462,475.48x = 179,462,782,268.88
  5. Step 5: Solve for x
    x = 179,462,782,268.88/462,475.48
  6. Step 6: Final answer
    x = 388,048.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.