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Finding the Fourth Proportional to 458,577, 632,836.26 and 257,373

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Solution

The fourth proportional to 458,577, 632,836.26 and 257,373 is: 355,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,577 : 632,836.26 = 257,373 : x
  2. Step 2: Convert to fraction form
    458,577/632,836.26 = 257,373/x
  3. Step 3: Cross multiply
    458,577x = 632,836.26 × 257,373
  4. Step 4: Simplify right side
    458,577x = 162,874,966,744.98
  5. Step 5: Solve for x
    x = 162,874,966,744.98/458,577
  6. Step 6: Final answer
    x = 355,174.74

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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.