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Finding the Fourth Proportional to 285,460.20, 428,060.70 and 107,908.20

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Solution

The fourth proportional to 285,460.20, 428,060.70 and 107,908.20 is: 161,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,460.20 : 428,060.70 = 107,908.20 : x
  2. Step 2: Convert to fraction form
    285,460.20/428,060.70 = 107,908.20/x
  3. Step 3: Cross multiply
    285,460.20x = 428,060.70 × 107,908.20
  4. Step 4: Simplify right side
    285,460.20x = 46,191,259,627.74
  5. Step 5: Solve for x
    x = 46,191,259,627.74/285,460.20
  6. Step 6: Final answer
    x = 161,813.31

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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.