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Finding the Fourth Proportional to 256,816.20, 385,265.34 and 79,281.48

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Solution

The fourth proportional to 256,816.20, 385,265.34 and 79,281.48 is: 118,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,816.20 : 385,265.34 = 79,281.48 : x
  2. Step 2: Convert to fraction form
    256,816.20/385,265.34 = 79,281.48/x
  3. Step 3: Cross multiply
    256,816.20x = 385,265.34 × 79,281.48
  4. Step 4: Simplify right side
    256,816.20x = 30,544,406,347.90
  5. Step 5: Solve for x
    x = 30,544,406,347.90/256,816.20
  6. Step 6: Final answer
    x = 118,934.89

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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.