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Finding the Fourth Proportional to 412,671.60, 619,007.40 and 341,812.80

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Solution

The fourth proportional to 412,671.60, 619,007.40 and 341,812.80 is: 512,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,671.60 : 619,007.40 = 341,812.80 : x
  2. Step 2: Convert to fraction form
    412,671.60/619,007.40 = 341,812.80/x
  3. Step 3: Cross multiply
    412,671.60x = 619,007.40 × 341,812.80
  4. Step 4: Simplify right side
    412,671.60x = 211,584,652,614.72
  5. Step 5: Solve for x
    x = 211,584,652,614.72/412,671.60
  6. Step 6: Final answer
    x = 512,719.20

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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.