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Finding the Fourth Proportional to 412,835.60, 619,368.60 and 202,480.40

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Solution

The fourth proportional to 412,835.60, 619,368.60 and 202,480.40 is: 303,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,835.60 : 619,368.60 = 202,480.40 : x
  2. Step 2: Convert to fraction form
    412,835.60/619,368.60 = 202,480.40/x
  3. Step 3: Cross multiply
    412,835.60x = 619,368.60 × 202,480.40
  4. Step 4: Simplify right side
    412,835.60x = 125,410,001,875.44
  5. Step 5: Solve for x
    x = 125,410,001,875.44/412,835.60
  6. Step 6: Final answer
    x = 303,777.10

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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.