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Finding the Fourth Proportional to 458,600.88, 632,834.52 and 257,358

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Solution

The fourth proportional to 458,600.88, 632,834.52 and 257,358 is: 355,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,600.88 : 632,834.52 = 257,358 : x
  2. Step 2: Convert to fraction form
    458,600.88/632,834.52 = 257,358/x
  3. Step 3: Cross multiply
    458,600.88x = 632,834.52 × 257,358
  4. Step 4: Simplify right side
    458,600.88x = 162,865,026,398.16
  5. Step 5: Solve for x
    x = 162,865,026,398.16/458,600.88
  6. Step 6: Final answer
    x = 355,134.57

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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.