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Finding the Fourth Proportional to 412,716.79, 619,117.61 and 142,844.40

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Solution

The fourth proportional to 412,716.79, 619,117.61 and 142,844.40 is: 214,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,716.79 : 619,117.61 = 142,844.40 : x
  2. Step 2: Convert to fraction form
    412,716.79/619,117.61 = 142,844.40/x
  3. Step 3: Cross multiply
    412,716.79x = 619,117.61 × 142,844.40
  4. Step 4: Simplify right side
    412,716.79x = 88,437,484,660.89
  5. Step 5: Solve for x
    x = 88,437,484,660.89/412,716.79
  6. Step 6: Final answer
    x = 214,281.29

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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.