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Finding the Fourth Proportional to 552,878.55, 762,996.96 and 311,176.80

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Solution

The fourth proportional to 552,878.55, 762,996.96 and 311,176.80 is: 429,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,878.55 : 762,996.96 = 311,176.80 : x
  2. Step 2: Convert to fraction form
    552,878.55/762,996.96 = 311,176.80/x
  3. Step 3: Cross multiply
    552,878.55x = 762,996.96 × 311,176.80
  4. Step 4: Simplify right side
    552,878.55x = 237,426,952,422.53
  5. Step 5: Solve for x
    x = 237,426,952,422.53/552,878.55
  6. Step 6: Final answer
    x = 429,437.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.