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Finding the Fourth Proportional to 285,952.89, 428,650.37 and 136,152.93

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Solution

The fourth proportional to 285,952.89, 428,650.37 and 136,152.93 is: 204,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,952.89 : 428,650.37 = 136,152.93 : x
  2. Step 2: Convert to fraction form
    285,952.89/428,650.37 = 136,152.93/x
  3. Step 3: Cross multiply
    285,952.89x = 428,650.37 × 136,152.93
  4. Step 4: Simplify right side
    285,952.89x = 58,362,003,140.32
  5. Step 5: Solve for x
    x = 58,362,003,140.32/285,952.89
  6. Step 6: Final answer
    x = 204,096.57

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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.