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Finding the Fourth Proportional to 651,933.20, 978,337.20 and 385,410.80

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Solution

The fourth proportional to 651,933.20, 978,337.20 and 385,410.80 is: 578,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,933.20 : 978,337.20 = 385,410.80 : x
  2. Step 2: Convert to fraction form
    651,933.20/978,337.20 = 385,410.80/x
  3. Step 3: Cross multiply
    651,933.20x = 978,337.20 × 385,410.80
  4. Step 4: Simplify right side
    651,933.20x = 377,061,722,921.76
  5. Step 5: Solve for x
    x = 377,061,722,921.76/651,933.20
  6. Step 6: Final answer
    x = 578,374.78

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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.