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Finding the Fourth Proportional to 412,842.60, 619,379.10 and 202,487.40

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Solution

The fourth proportional to 412,842.60, 619,379.10 and 202,487.40 is: 303,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,842.60 : 619,379.10 = 202,487.40 : x
  2. Step 2: Convert to fraction form
    412,842.60/619,379.10 = 202,487.40/x
  3. Step 3: Cross multiply
    412,842.60x = 619,379.10 × 202,487.40
  4. Step 4: Simplify right side
    412,842.60x = 125,416,463,573.34
  5. Step 5: Solve for x
    x = 125,416,463,573.34/412,842.60
  6. Step 6: Final answer
    x = 303,787.60

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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.