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Finding the Fourth Proportional to 458,523, 632,820.06 and 257,319

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Solution

The fourth proportional to 458,523, 632,820.06 and 257,319 is: 355,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,523 : 632,820.06 = 257,319 : x
  2. Step 2: Convert to fraction form
    458,523/632,820.06 = 257,319/x
  3. Step 3: Cross multiply
    458,523x = 632,820.06 × 257,319
  4. Step 4: Simplify right side
    458,523x = 162,836,625,019.14
  5. Step 5: Solve for x
    x = 162,836,625,019.14/458,523
  6. Step 6: Final answer
    x = 355,132.95

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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.