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Finding the Fourth Proportional to 186,431.28, 279,413.40 and 146,832

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Solution

The fourth proportional to 186,431.28, 279,413.40 and 146,832 is: 220,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,431.28 : 279,413.40 = 146,832 : x
  2. Step 2: Convert to fraction form
    186,431.28/279,413.40 = 146,832/x
  3. Step 3: Cross multiply
    186,431.28x = 279,413.40 × 146,832
  4. Step 4: Simplify right side
    186,431.28x = 41,026,828,348.80
  5. Step 5: Solve for x
    x = 41,026,828,348.80/186,431.28
  6. Step 6: Final answer
    x = 220,064.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.