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Finding the Fourth Proportional to 278,577, 418,031.54 and 101,097.88

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Solution

The fourth proportional to 278,577, 418,031.54 and 101,097.88 is: 151,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,577 : 418,031.54 = 101,097.88 : x
  2. Step 2: Convert to fraction form
    278,577/418,031.54 = 101,097.88/x
  3. Step 3: Cross multiply
    278,577x = 418,031.54 × 101,097.88
  4. Step 4: Simplify right side
    278,577x = 42,262,102,467.14
  5. Step 5: Solve for x
    x = 42,262,102,467.14/278,577
  6. Step 6: Final answer
    x = 151,707.08

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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.