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Finding the Fourth Proportional to 652,503.35, 978,438.59 and 382,719.65

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Solution

The fourth proportional to 652,503.35, 978,438.59 and 382,719.65 is: 573,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,503.35 : 978,438.59 = 382,719.65 : x
  2. Step 2: Convert to fraction form
    652,503.35/978,438.59 = 382,719.65/x
  3. Step 3: Cross multiply
    652,503.35x = 978,438.59 × 382,719.65
  4. Step 4: Simplify right side
    652,503.35x = 374,467,670,775.90
  5. Step 5: Solve for x
    x = 374,467,670,775.90/652,503.35
  6. Step 6: Final answer
    x = 573,893.87

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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.