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Finding the Fourth Proportional to 503,243.96, 694,516.68 and 288,404.01

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Solution

The fourth proportional to 503,243.96, 694,516.68 and 288,404.01 is: 398,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,243.96 : 694,516.68 = 288,404.01 : x
  2. Step 2: Convert to fraction form
    503,243.96/694,516.68 = 288,404.01/x
  3. Step 3: Cross multiply
    503,243.96x = 694,516.68 × 288,404.01
  4. Step 4: Simplify right side
    503,243.96x = 200,301,395,523.89
  5. Step 5: Solve for x
    x = 200,301,395,523.89/503,243.96
  6. Step 6: Final answer
    x = 398,020.47

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1.5x scale

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.