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Finding the Fourth Proportional to 412,441.20, 619,122.60 and 385,369.20

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Solution

The fourth proportional to 412,441.20, 619,122.60 and 385,369.20 is: 578,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,441.20 : 619,122.60 = 385,369.20 : x
  2. Step 2: Convert to fraction form
    412,441.20/619,122.60 = 385,369.20/x
  3. Step 3: Cross multiply
    412,441.20x = 619,122.60 × 385,369.20
  4. Step 4: Simplify right side
    412,441.20x = 238,590,781,063.92
  5. Step 5: Solve for x
    x = 238,590,781,063.92/412,441.20
  6. Step 6: Final answer
    x = 578,484.35

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1.5x scale

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.