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Finding the Fourth Proportional to 256,681.08, 385,076.52 and 76,780.60

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Solution

The fourth proportional to 256,681.08, 385,076.52 and 76,780.60 is: 115,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,681.08 : 385,076.52 = 76,780.60 : x
  2. Step 2: Convert to fraction form
    256,681.08/385,076.52 = 76,780.60/x
  3. Step 3: Cross multiply
    256,681.08x = 385,076.52 × 76,780.60
  4. Step 4: Simplify right side
    256,681.08x = 29,566,406,251.51
  5. Step 5: Solve for x
    x = 29,566,406,251.51/256,681.08
  6. Step 6: Final answer
    x = 115,187.32

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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.