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Finding the Fourth Proportional to 458,970, 633,438 and 257,766

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Solution

The fourth proportional to 458,970, 633,438 and 257,766 is: 355,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,970 : 633,438 = 257,766 : x
  2. Step 2: Convert to fraction form
    458,970/633,438 = 257,766/x
  3. Step 3: Cross multiply
    458,970x = 633,438 × 257,766
  4. Step 4: Simplify right side
    458,970x = 163,278,779,508
  5. Step 5: Solve for x
    x = 163,278,779,508/458,970
  6. Step 6: Final answer
    x = 355,750.44

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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.