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Finding the Fourth Proportional to 458,571, 632,827.98 and 257,367

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Solution

The fourth proportional to 458,571, 632,827.98 and 257,367 is: 355,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,571 : 632,827.98 = 257,367 : x
  2. Step 2: Convert to fraction form
    458,571/632,827.98 = 257,367/x
  3. Step 3: Cross multiply
    458,571x = 632,827.98 × 257,367
  4. Step 4: Simplify right side
    458,571x = 162,869,038,728.66
  5. Step 5: Solve for x
    x = 162,869,038,728.66/458,571
  6. Step 6: Final answer
    x = 355,166.46

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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.