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Finding the Fourth Proportional to 458,630.88, 632,875.92 and 257,388

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Solution

The fourth proportional to 458,630.88, 632,875.92 and 257,388 is: 355,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,630.88 : 632,875.92 = 257,388 : x
  2. Step 2: Convert to fraction form
    458,630.88/632,875.92 = 257,388/x
  3. Step 3: Cross multiply
    458,630.88x = 632,875.92 × 257,388
  4. Step 4: Simplify right side
    458,630.88x = 162,894,667,296.96
  5. Step 5: Solve for x
    x = 162,894,667,296.96/458,630.88
  6. Step 6: Final answer
    x = 355,175.97

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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.