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Finding the Fourth Proportional to 286,524.86, 395,404.40 and 159,200.46

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Solution

The fourth proportional to 286,524.86, 395,404.40 and 159,200.46 is: 219,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,524.86 : 395,404.40 = 159,200.46 : x
  2. Step 2: Convert to fraction form
    286,524.86/395,404.40 = 159,200.46/x
  3. Step 3: Cross multiply
    286,524.86x = 395,404.40 × 159,200.46
  4. Step 4: Simplify right side
    286,524.86x = 62,948,562,366.02
  5. Step 5: Solve for x
    x = 62,948,562,366.02/286,524.86
  6. Step 6: Final answer
    x = 219,696.69

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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.