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Finding the Fourth Proportional to 458,574, 632,832.12 and 257,370

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Solution

The fourth proportional to 458,574, 632,832.12 and 257,370 is: 355,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,574 : 632,832.12 = 257,370 : x
  2. Step 2: Convert to fraction form
    458,574/632,832.12 = 257,370/x
  3. Step 3: Cross multiply
    458,574x = 632,832.12 × 257,370
  4. Step 4: Simplify right side
    458,574x = 162,872,002,724.40
  5. Step 5: Solve for x
    x = 162,872,002,724.40/458,574
  6. Step 6: Final answer
    x = 355,170.60

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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.