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Finding the Fourth Proportional to 503,343.31, 694,630.08 and 288,524.02

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Solution

The fourth proportional to 503,343.31, 694,630.08 and 288,524.02 is: 398,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,343.31 : 694,630.08 = 288,524.02 : x
  2. Step 2: Convert to fraction form
    503,343.31/694,630.08 = 288,524.02/x
  3. Step 3: Cross multiply
    503,343.31x = 694,630.08 × 288,524.02
  4. Step 4: Simplify right side
    503,343.31x = 200,417,463,094.52
  5. Step 5: Solve for x
    x = 200,417,463,094.52/503,343.31
  6. Step 6: Final answer
    x = 398,172.50

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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.