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Finding the Fourth Proportional to 652,416.02, 978,389.16 and 225,835.94

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Solution

The fourth proportional to 652,416.02, 978,389.16 and 225,835.94 is: 338,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,416.02 : 978,389.16 = 225,835.94 : x
  2. Step 2: Convert to fraction form
    652,416.02/978,389.16 = 225,835.94/x
  3. Step 3: Cross multiply
    652,416.02x = 978,389.16 × 225,835.94
  4. Step 4: Simplify right side
    652,416.02x = 220,955,435,634.41
  5. Step 5: Solve for x
    x = 220,955,435,634.41/652,416.02
  6. Step 6: Final answer
    x = 338,672.61

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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.