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Finding the Fourth Proportional to 412,376.32, 618,248.94 and 285,652.36

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Solution

The fourth proportional to 412,376.32, 618,248.94 and 285,652.36 is: 428,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,376.32 : 618,248.94 = 285,652.36 : x
  2. Step 2: Convert to fraction form
    412,376.32/618,248.94 = 285,652.36/x
  3. Step 3: Cross multiply
    412,376.32x = 618,248.94 × 285,652.36
  4. Step 4: Simplify right side
    412,376.32x = 176,604,268,778.50
  5. Step 5: Solve for x
    x = 176,604,268,778.50/412,376.32
  6. Step 6: Final answer
    x = 428,259.97

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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.