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Finding the Fourth Proportional to 652,508.19, 978,445.85 and 382,724.49

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Solution

The fourth proportional to 652,508.19, 978,445.85 and 382,724.49 is: 573,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,508.19 : 978,445.85 = 382,724.49 : x
  2. Step 2: Convert to fraction form
    652,508.19/978,445.85 = 382,724.49/x
  3. Step 3: Cross multiply
    652,508.19x = 978,445.85 × 382,724.49
  4. Step 4: Simplify right side
    652,508.19x = 374,475,188,933.87
  5. Step 5: Solve for x
    x = 374,475,188,933.87/652,508.19
  6. Step 6: Final answer
    x = 573,901.13

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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.