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Finding the Fourth Proportional to 256,488.40, 384,709.80 and 114,340.69

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Solution

The fourth proportional to 256,488.40, 384,709.80 and 114,340.69 is: 171,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,488.40 : 384,709.80 = 114,340.69 : x
  2. Step 2: Convert to fraction form
    256,488.40/384,709.80 = 114,340.69/x
  3. Step 3: Cross multiply
    256,488.40x = 384,709.80 × 114,340.69
  4. Step 4: Simplify right side
    256,488.40x = 43,987,983,981.76
  5. Step 5: Solve for x
    x = 43,987,983,981.76/256,488.40
  6. Step 6: Final answer
    x = 171,500.87

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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.