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Finding the Fourth Proportional to 398,715.21, 597,395.79 and 240,611.45

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Solution

The fourth proportional to 398,715.21, 597,395.79 and 240,611.45 is: 360,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,715.21 : 597,395.79 = 240,611.45 : x
  2. Step 2: Convert to fraction form
    398,715.21/597,395.79 = 240,611.45/x
  3. Step 3: Cross multiply
    398,715.21x = 597,395.79 × 240,611.45
  4. Step 4: Simplify right side
    398,715.21x = 143,740,264,268.82
  5. Step 5: Solve for x
    x = 143,740,264,268.82/398,715.21
  6. Step 6: Final answer
    x = 360,508.61

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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.