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Finding the Fourth Proportional to 278,962.72, 418,653.60 and 145,876.48

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Solution

The fourth proportional to 278,962.72, 418,653.60 and 145,876.48 is: 218,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,962.72 : 418,653.60 = 145,876.48 : x
  2. Step 2: Convert to fraction form
    278,962.72/418,653.60 = 145,876.48/x
  3. Step 3: Cross multiply
    278,962.72x = 418,653.60 × 145,876.48
  4. Step 4: Simplify right side
    278,962.72x = 61,071,713,507.33
  5. Step 5: Solve for x
    x = 61,071,713,507.33/278,962.72
  6. Step 6: Final answer
    x = 218,924.28

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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.