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Finding the Fourth Proportional to 475,650.72, 712,525.38 and 286,007.25

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Solution

The fourth proportional to 475,650.72, 712,525.38 and 286,007.25 is: 428,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,650.72 : 712,525.38 = 286,007.25 : x
  2. Step 2: Convert to fraction form
    475,650.72/712,525.38 = 286,007.25/x
  3. Step 3: Cross multiply
    475,650.72x = 712,525.38 × 286,007.25
  4. Step 4: Simplify right side
    475,650.72x = 203,787,424,489.01
  5. Step 5: Solve for x
    x = 203,787,424,489.01/475,650.72
  6. Step 6: Final answer
    x = 428,439.22

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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.