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Finding the Fourth Proportional to 289,351.73, 434,027.65 and 120,780.10

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Solution

The fourth proportional to 289,351.73, 434,027.65 and 120,780.10 is: 181,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,351.73 : 434,027.65 = 120,780.10 : x
  2. Step 2: Convert to fraction form
    289,351.73/434,027.65 = 120,780.10/x
  3. Step 3: Cross multiply
    289,351.73x = 434,027.65 × 120,780.10
  4. Step 4: Simplify right side
    289,351.73x = 52,421,901,582.75
  5. Step 5: Solve for x
    x = 52,421,901,582.75/289,351.73
  6. Step 6: Final answer
    x = 181,170.17

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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.