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Finding the Fourth Proportional to 457,590.96, 631,473.72 and 256,386.48

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Solution

The fourth proportional to 457,590.96, 631,473.72 and 256,386.48 is: 353,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,590.96 : 631,473.72 = 256,386.48 : x
  2. Step 2: Convert to fraction form
    457,590.96/631,473.72 = 256,386.48/x
  3. Step 3: Cross multiply
    457,590.96x = 631,473.72 × 256,386.48
  4. Step 4: Simplify right side
    457,590.96x = 161,901,324,283.31
  5. Step 5: Solve for x
    x = 161,901,324,283.31/457,590.96
  6. Step 6: Final answer
    x = 353,812.33

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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.