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Finding the Fourth Proportional to 412,840.60, 619,376.10 and 202,485.40

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Solution

The fourth proportional to 412,840.60, 619,376.10 and 202,485.40 is: 303,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,840.60 : 619,376.10 = 202,485.40 : x
  2. Step 2: Convert to fraction form
    412,840.60/619,376.10 = 202,485.40/x
  3. Step 3: Cross multiply
    412,840.60x = 619,376.10 × 202,485.40
  4. Step 4: Simplify right side
    412,840.60x = 125,414,617,358.94
  5. Step 5: Solve for x
    x = 125,414,617,358.94/412,840.60
  6. Step 6: Final answer
    x = 303,784.60

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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.