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Finding the Fourth Proportional to 652,503.32, 978,438.54 and 382,719.62

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Solution

The fourth proportional to 652,503.32, 978,438.54 and 382,719.62 is: 573,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,503.32 : 978,438.54 = 382,719.62 : x
  2. Step 2: Convert to fraction form
    652,503.32/978,438.54 = 382,719.62/x
  3. Step 3: Cross multiply
    652,503.32x = 978,438.54 × 382,719.62
  4. Step 4: Simplify right side
    652,503.32x = 374,467,622,286.76
  5. Step 5: Solve for x
    x = 374,467,622,286.76/652,503.32
  6. Step 6: Final answer
    x = 573,893.82

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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.