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Finding the Fourth Proportional to 665,228.90, 998,553.78 and 286,337.30

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Solution

The fourth proportional to 665,228.90, 998,553.78 and 286,337.30 is: 429,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,228.90 : 998,553.78 = 286,337.30 : x
  2. Step 2: Convert to fraction form
    665,228.90/998,553.78 = 286,337.30/x
  3. Step 3: Cross multiply
    665,228.90x = 998,553.78 × 286,337.30
  4. Step 4: Simplify right side
    665,228.90x = 285,923,193,269.99
  5. Step 5: Solve for x
    x = 285,923,193,269.99/665,228.90
  6. Step 6: Final answer
    x = 429,811.74

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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.