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Finding the Fourth Proportional to 278,952.93, 418,607.60 and 101,443.05

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Solution

The fourth proportional to 278,952.93, 418,607.60 and 101,443.05 is: 152,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,952.93 : 418,607.60 = 101,443.05 : x
  2. Step 2: Convert to fraction form
    278,952.93/418,607.60 = 101,443.05/x
  3. Step 3: Cross multiply
    278,952.93x = 418,607.60 × 101,443.05
  4. Step 4: Simplify right side
    278,952.93x = 42,464,831,189.96
  5. Step 5: Solve for x
    x = 42,464,831,189.96/278,952.93
  6. Step 6: Final answer
    x = 152,229.38

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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.