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Finding the Fourth Proportional to 278,705.83, 418,056.43 and 165,637.25

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Solution

The fourth proportional to 278,705.83, 418,056.43 and 165,637.25 is: 248,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,705.83 : 418,056.43 = 165,637.25 : x
  2. Step 2: Convert to fraction form
    278,705.83/418,056.43 = 165,637.25/x
  3. Step 3: Cross multiply
    278,705.83x = 418,056.43 × 165,637.25
  4. Step 4: Simplify right side
    278,705.83x = 69,245,717,410.02
  5. Step 5: Solve for x
    x = 69,245,717,410.02/278,705.83
  6. Step 6: Final answer
    x = 248,454.50

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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.