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Finding the Fourth Proportional to 349,251.40, 523,877.10 and 311,926.60

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Solution

The fourth proportional to 349,251.40, 523,877.10 and 311,926.60 is: 467,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,251.40 : 523,877.10 = 311,926.60 : x
  2. Step 2: Convert to fraction form
    349,251.40/523,877.10 = 311,926.60/x
  3. Step 3: Cross multiply
    349,251.40x = 523,877.10 × 311,926.60
  4. Step 4: Simplify right side
    349,251.40x = 163,411,202,620.86
  5. Step 5: Solve for x
    x = 163,411,202,620.86/349,251.40
  6. Step 6: Final answer
    x = 467,889.90

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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.