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Finding the Fourth Proportional to 503,337.54, 694,634.40 and 288,513.30

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Solution

The fourth proportional to 503,337.54, 694,634.40 and 288,513.30 is: 398,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,337.54 : 694,634.40 = 288,513.30 : x
  2. Step 2: Convert to fraction form
    503,337.54/694,634.40 = 288,513.30/x
  3. Step 3: Cross multiply
    503,337.54x = 694,634.40 × 288,513.30
  4. Step 4: Simplify right side
    503,337.54x = 200,411,263,037.52
  5. Step 5: Solve for x
    x = 200,411,263,037.52/503,337.54
  6. Step 6: Final answer
    x = 398,164.74

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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.