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Finding the Fourth Proportional to 285,994.68, 428,994.51 and 72,762.78

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Solution

The fourth proportional to 285,994.68, 428,994.51 and 72,762.78 is: 109,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,994.68 : 428,994.51 = 72,762.78 : x
  2. Step 2: Convert to fraction form
    285,994.68/428,994.51 = 72,762.78/x
  3. Step 3: Cross multiply
    285,994.68x = 428,994.51 × 72,762.78
  4. Step 4: Simplify right side
    285,994.68x = 31,214,833,152.34
  5. Step 5: Solve for x
    x = 31,214,833,152.34/285,994.68
  6. Step 6: Final answer
    x = 109,144.80

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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.