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Finding the Fourth Proportional to 412,869.60, 619,880.40 and 264,031.20

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Solution

The fourth proportional to 412,869.60, 619,880.40 and 264,031.20 is: 396,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,869.60 : 619,880.40 = 264,031.20 : x
  2. Step 2: Convert to fraction form
    412,869.60/619,880.40 = 264,031.20/x
  3. Step 3: Cross multiply
    412,869.60x = 619,880.40 × 264,031.20
  4. Step 4: Simplify right side
    412,869.60x = 163,667,765,868.48
  5. Step 5: Solve for x
    x = 163,667,765,868.48/412,869.60
  6. Step 6: Final answer
    x = 396,415.15

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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.