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Finding the Fourth Proportional to 503,311.70, 694,341.33 and 299,246.78

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Solution

The fourth proportional to 503,311.70, 694,341.33 and 299,246.78 is: 412,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,311.70 : 694,341.33 = 299,246.78 : x
  2. Step 2: Convert to fraction form
    503,311.70/694,341.33 = 299,246.78/x
  3. Step 3: Cross multiply
    503,311.70x = 694,341.33 × 299,246.78
  4. Step 4: Simplify right side
    503,311.70x = 207,779,407,223.42
  5. Step 5: Solve for x
    x = 207,779,407,223.42/503,311.70
  6. Step 6: Final answer
    x = 412,824.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.