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Finding the Fourth Proportional to 503,358.72, 694,478.66 and 285,531.50

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Solution

The fourth proportional to 503,358.72, 694,478.66 and 285,531.50 is: 393,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,358.72 : 694,478.66 = 285,531.50 : x
  2. Step 2: Convert to fraction form
    503,358.72/694,478.66 = 285,531.50/x
  3. Step 3: Cross multiply
    503,358.72x = 694,478.66 × 285,531.50
  4. Step 4: Simplify right side
    503,358.72x = 198,295,528,607.74
  5. Step 5: Solve for x
    x = 198,295,528,607.74/503,358.72
  6. Step 6: Final answer
    x = 393,944.76

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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.