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Finding the Fourth Proportional to 278,659.58, 417,988.29 and 101,165.90

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Solution

The fourth proportional to 278,659.58, 417,988.29 and 101,165.90 is: 151,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,659.58 : 417,988.29 = 101,165.90 : x
  2. Step 2: Convert to fraction form
    278,659.58/417,988.29 = 101,165.90/x
  3. Step 3: Cross multiply
    278,659.58x = 417,988.29 × 101,165.90
  4. Step 4: Simplify right side
    278,659.58x = 42,286,161,547.31
  5. Step 5: Solve for x
    x = 42,286,161,547.31/278,659.58
  6. Step 6: Final answer
    x = 151,748.46

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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.