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Finding the Fourth Proportional to 412,250.70, 618,376.05 and 202,298.70

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Solution

The fourth proportional to 412,250.70, 618,376.05 and 202,298.70 is: 303,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,250.70 : 618,376.05 = 202,298.70 : x
  2. Step 2: Convert to fraction form
    412,250.70/618,376.05 = 202,298.70/x
  3. Step 3: Cross multiply
    412,250.70x = 618,376.05 × 202,298.70
  4. Step 4: Simplify right side
    412,250.70x = 125,096,671,026.14
  5. Step 5: Solve for x
    x = 125,096,671,026.14/412,250.70
  6. Step 6: Final answer
    x = 303,448.05

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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.