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Finding the Fourth Proportional to 552,877.32, 762,969.90 and 311,161.56

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Solution

The fourth proportional to 552,877.32, 762,969.90 and 311,161.56 is: 429,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,877.32 : 762,969.90 = 311,161.56 : x
  2. Step 2: Convert to fraction form
    552,877.32/762,969.90 = 311,161.56/x
  3. Step 3: Cross multiply
    552,877.32x = 762,969.90 × 311,161.56
  4. Step 4: Simplify right side
    552,877.32x = 237,406,904,317.04
  5. Step 5: Solve for x
    x = 237,406,904,317.04/552,877.32
  6. Step 6: Final answer
    x = 429,402.50

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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.