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Finding the Fourth Proportional to 412,371.84, 618,382.80 and 146,199.36

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Solution

The fourth proportional to 412,371.84, 618,382.80 and 146,199.36 is: 219,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,371.84 : 618,382.80 = 146,199.36 : x
  2. Step 2: Convert to fraction form
    412,371.84/618,382.80 = 146,199.36/x
  3. Step 3: Cross multiply
    412,371.84x = 618,382.80 × 146,199.36
  4. Step 4: Simplify right side
    412,371.84x = 90,407,169,595.01
  5. Step 5: Solve for x
    x = 90,407,169,595.01/412,371.84
  6. Step 6: Final answer
    x = 219,237.01

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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.