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Finding the Fourth Proportional to 462,348.06, 638,027.60 and 258,399.78

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Solution

The fourth proportional to 462,348.06, 638,027.60 and 258,399.78 is: 356,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,348.06 : 638,027.60 = 258,399.78 : x
  2. Step 2: Convert to fraction form
    462,348.06/638,027.60 = 258,399.78/x
  3. Step 3: Cross multiply
    462,348.06x = 638,027.60 × 258,399.78
  4. Step 4: Simplify right side
    462,348.06x = 164,866,191,473.93
  5. Step 5: Solve for x
    x = 164,866,191,473.93/462,348.06
  6. Step 6: Final answer
    x = 356,584.59

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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.