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Finding the Fourth Proportional to 652,505.19, 978,441.35 and 382,721.49

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Solution

The fourth proportional to 652,505.19, 978,441.35 and 382,721.49 is: 573,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,505.19 : 978,441.35 = 382,721.49 : x
  2. Step 2: Convert to fraction form
    652,505.19/978,441.35 = 382,721.49/x
  3. Step 3: Cross multiply
    652,505.19x = 978,441.35 × 382,721.49
  4. Step 4: Simplify right side
    652,505.19x = 374,470,531,349.61
  5. Step 5: Solve for x
    x = 374,470,531,349.61/652,505.19
  6. Step 6: Final answer
    x = 573,896.63

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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.