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Finding the Fourth Proportional to 285,566.64, 428,404.02 and 114,801.57

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Solution

The fourth proportional to 285,566.64, 428,404.02 and 114,801.57 is: 172,224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,566.64 : 428,404.02 = 114,801.57 : x
  2. Step 2: Convert to fraction form
    285,566.64/428,404.02 = 114,801.57/x
  3. Step 3: Cross multiply
    285,566.64x = 428,404.02 × 114,801.57
  4. Step 4: Simplify right side
    285,566.64x = 49,181,454,090.31
  5. Step 5: Solve for x
    x = 49,181,454,090.31/285,566.64
  6. Step 6: Final answer
    x = 172,224.09

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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.