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Finding the Fourth Proportional to 462,427.36, 638,147.91 and 258,478.06

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Solution

The fourth proportional to 462,427.36, 638,147.91 and 258,478.06 is: 356,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,427.36 : 638,147.91 = 258,478.06 : x
  2. Step 2: Convert to fraction form
    462,427.36/638,147.91 = 258,478.06/x
  3. Step 3: Cross multiply
    462,427.36x = 638,147.91 × 258,478.06
  4. Step 4: Simplify right side
    462,427.36x = 164,947,233,769.86
  5. Step 5: Solve for x
    x = 164,947,233,769.86/462,427.36
  6. Step 6: Final answer
    x = 356,698.69

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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.