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Finding the Fourth Proportional to 458,417.88, 632,581.92 and 257,175

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Solution

The fourth proportional to 458,417.88, 632,581.92 and 257,175 is: 354,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,417.88 : 632,581.92 = 257,175 : x
  2. Step 2: Convert to fraction form
    458,417.88/632,581.92 = 257,175/x
  3. Step 3: Cross multiply
    458,417.88x = 632,581.92 × 257,175
  4. Step 4: Simplify right side
    458,417.88x = 162,684,255,276
  5. Step 5: Solve for x
    x = 162,684,255,276/458,417.88
  6. Step 6: Final answer
    x = 354,882.00

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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.