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Finding the Fourth Proportional to 475,887.68, 712,879.78 and 286,243.36

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Solution

The fourth proportional to 475,887.68, 712,879.78 and 286,243.36 is: 428,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,887.68 : 712,879.78 = 286,243.36 : x
  2. Step 2: Convert to fraction form
    475,887.68/712,879.78 = 286,243.36/x
  3. Step 3: Cross multiply
    475,887.68x = 712,879.78 × 286,243.36
  4. Step 4: Simplify right side
    475,887.68x = 204,057,103,503.26
  5. Step 5: Solve for x
    x = 204,057,103,503.26/475,887.68
  6. Step 6: Final answer
    x = 428,792.57

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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.