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Finding the Fourth Proportional to 349,113, 523,669.50 and 127,497

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Solution

The fourth proportional to 349,113, 523,669.50 and 127,497 is: 191,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,113 : 523,669.50 = 127,497 : x
  2. Step 2: Convert to fraction form
    349,113/523,669.50 = 127,497/x
  3. Step 3: Cross multiply
    349,113x = 523,669.50 × 127,497
  4. Step 4: Simplify right side
    349,113x = 66,766,290,241.50
  5. Step 5: Solve for x
    x = 66,766,290,241.50/349,113
  6. Step 6: Final answer
    x = 191,245.50

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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.