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Finding the Fourth Proportional to 285,656.13, 428,397.90 and 85,923.48

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Solution

The fourth proportional to 285,656.13, 428,397.90 and 85,923.48 is: 128,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,656.13 : 428,397.90 = 85,923.48 : x
  2. Step 2: Convert to fraction form
    285,656.13/428,397.90 = 85,923.48/x
  3. Step 3: Cross multiply
    285,656.13x = 428,397.90 × 85,923.48
  4. Step 4: Simplify right side
    285,656.13x = 36,809,438,392.69
  5. Step 5: Solve for x
    x = 36,809,438,392.69/285,656.13
  6. Step 6: Final answer
    x = 128,859.26

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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.