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Finding the Fourth Proportional to 652,503.82, 978,439.29 and 382,720.12

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Solution

The fourth proportional to 652,503.82, 978,439.29 and 382,720.12 is: 573,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,503.82 : 978,439.29 = 382,720.12 : x
  2. Step 2: Convert to fraction form
    652,503.82/978,439.29 = 382,720.12/x
  3. Step 3: Cross multiply
    652,503.82x = 978,439.29 × 382,720.12
  4. Step 4: Simplify right side
    652,503.82x = 374,468,402,481.52
  5. Step 5: Solve for x
    x = 374,468,402,481.52/652,503.82
  6. Step 6: Final answer
    x = 573,894.58

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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.