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Finding the Fourth Proportional to 280,459.83, 386,838.18 and 189,775.88

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Solution

The fourth proportional to 280,459.83, 386,838.18 and 189,775.88 is: 261,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,459.83 : 386,838.18 = 189,775.88 : x
  2. Step 2: Convert to fraction form
    280,459.83/386,838.18 = 189,775.88/x
  3. Step 3: Cross multiply
    280,459.83x = 386,838.18 × 189,775.88
  4. Step 4: Simplify right side
    280,459.83x = 73,412,556,027.10
  5. Step 5: Solve for x
    x = 73,412,556,027.10/280,459.83
  6. Step 6: Final answer
    x = 261,757.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.