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Finding the Fourth Proportional to 285,994.17, 428,993.76 and 72,762.28

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Solution

The fourth proportional to 285,994.17, 428,993.76 and 72,762.28 is: 109,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,994.17 : 428,993.76 = 72,762.28 : x
  2. Step 2: Convert to fraction form
    285,994.17/428,993.76 = 72,762.28/x
  3. Step 3: Cross multiply
    285,994.17x = 428,993.76 × 72,762.28
  4. Step 4: Simplify right side
    285,994.17x = 31,214,561,938.40
  5. Step 5: Solve for x
    x = 31,214,561,938.40/285,994.17
  6. Step 6: Final answer
    x = 109,144.05

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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.