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Finding the Fourth Proportional to 412,809.90, 619,069.05 and 146,579.10

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Solution

The fourth proportional to 412,809.90, 619,069.05 and 146,579.10 is: 219,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,809.90 : 619,069.05 = 146,579.10 : x
  2. Step 2: Convert to fraction form
    412,809.90/619,069.05 = 146,579.10/x
  3. Step 3: Cross multiply
    412,809.90x = 619,069.05 × 146,579.10
  4. Step 4: Simplify right side
    412,809.90x = 90,742,584,186.86
  5. Step 5: Solve for x
    x = 90,742,584,186.86/412,809.90
  6. Step 6: Final answer
    x = 219,816.88

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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.