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Finding the Fourth Proportional to 503,030.73, 694,281.03 and 288,314.70

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Solution

The fourth proportional to 503,030.73, 694,281.03 and 288,314.70 is: 397,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,030.73 : 694,281.03 = 288,314.70 : x
  2. Step 2: Convert to fraction form
    503,030.73/694,281.03 = 288,314.70/x
  3. Step 3: Cross multiply
    503,030.73x = 694,281.03 × 288,314.70
  4. Step 4: Simplify right side
    503,030.73x = 200,171,426,880.14
  5. Step 5: Solve for x
    x = 200,171,426,880.14/503,030.73
  6. Step 6: Final answer
    x = 397,930.81

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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.