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Finding the Fourth Proportional to 412,783.18, 619,232.17 and 146,480.39

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Solution

The fourth proportional to 412,783.18, 619,232.17 and 146,480.39 is: 219,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,783.18 : 619,232.17 = 146,480.39 : x
  2. Step 2: Convert to fraction form
    412,783.18/619,232.17 = 146,480.39/x
  3. Step 3: Cross multiply
    412,783.18x = 619,232.17 × 146,480.39
  4. Step 4: Simplify right side
    412,783.18x = 90,705,369,762.15
  5. Step 5: Solve for x
    x = 90,705,369,762.15/412,783.18
  6. Step 6: Final answer
    x = 219,740.95

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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.