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Finding the Fourth Proportional to 412,079.40, 617,823.90 and 159,143.40

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Solution

The fourth proportional to 412,079.40, 617,823.90 and 159,143.40 is: 238,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,079.40 : 617,823.90 = 159,143.40 : x
  2. Step 2: Convert to fraction form
    412,079.40/617,823.90 = 159,143.40/x
  3. Step 3: Cross multiply
    412,079.40x = 617,823.90 × 159,143.40
  4. Step 4: Simplify right side
    412,079.40x = 98,322,596,047.26
  5. Step 5: Solve for x
    x = 98,322,596,047.26/412,079.40
  6. Step 6: Final answer
    x = 238,601.09

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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.