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Finding the Fourth Proportional to 458,952.32, 633,350.40 and 257,744

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Solution

The fourth proportional to 458,952.32, 633,350.40 and 257,744 is: 355,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,952.32 : 633,350.40 = 257,744 : x
  2. Step 2: Convert to fraction form
    458,952.32/633,350.40 = 257,744/x
  3. Step 3: Cross multiply
    458,952.32x = 633,350.40 × 257,744
  4. Step 4: Simplify right side
    458,952.32x = 163,242,265,497.60
  5. Step 5: Solve for x
    x = 163,242,265,497.60/458,952.32
  6. Step 6: Final answer
    x = 355,684.59

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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.