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Finding the Fourth Proportional to 285,556.59, 428,224.17 and 152,364.19

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Solution

The fourth proportional to 285,556.59, 428,224.17 and 152,364.19 is: 228,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,556.59 : 428,224.17 = 152,364.19 : x
  2. Step 2: Convert to fraction form
    285,556.59/428,224.17 = 152,364.19/x
  3. Step 3: Cross multiply
    285,556.59x = 428,224.17 × 152,364.19
  4. Step 4: Simplify right side
    285,556.59x = 65,246,028,247.15
  5. Step 5: Solve for x
    x = 65,246,028,247.15/285,556.59
  6. Step 6: Final answer
    x = 228,487.21

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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.