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Finding the Fourth Proportional to 475,646.79, 712,519.60 and 286,003.33

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Solution

The fourth proportional to 475,646.79, 712,519.60 and 286,003.33 is: 428,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,646.79 : 712,519.60 = 286,003.33 : x
  2. Step 2: Convert to fraction form
    475,646.79/712,519.60 = 286,003.33/x
  3. Step 3: Cross multiply
    475,646.79x = 712,519.60 × 286,003.33
  4. Step 4: Simplify right side
    475,646.79x = 203,782,976,860.25
  5. Step 5: Solve for x
    x = 203,782,976,860.25/475,646.79
  6. Step 6: Final answer
    x = 428,433.42

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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.