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Finding the Fourth Proportional to 458,578, 632,837.64 and 257,374

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Solution

The fourth proportional to 458,578, 632,837.64 and 257,374 is: 355,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,578 : 632,837.64 = 257,374 : x
  2. Step 2: Convert to fraction form
    458,578/632,837.64 = 257,374/x
  3. Step 3: Cross multiply
    458,578x = 632,837.64 × 257,374
  4. Step 4: Simplify right side
    458,578x = 162,875,954,757.36
  5. Step 5: Solve for x
    x = 162,875,954,757.36/458,578
  6. Step 6: Final answer
    x = 355,176.12

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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.