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Finding the Fourth Proportional to 289,709.60, 434,434.80 and 131,856.80

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Solution

The fourth proportional to 289,709.60, 434,434.80 and 131,856.80 is: 197,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,709.60 : 434,434.80 = 131,856.80 : x
  2. Step 2: Convert to fraction form
    289,709.60/434,434.80 = 131,856.80/x
  3. Step 3: Cross multiply
    289,709.60x = 434,434.80 × 131,856.80
  4. Step 4: Simplify right side
    289,709.60x = 57,283,182,536.64
  5. Step 5: Solve for x
    x = 57,283,182,536.64/289,709.60
  6. Step 6: Final answer
    x = 197,726.21

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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.