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Finding the Fourth Proportional to 690,533.46, 952,961.91 and 380,448.65

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Solution

The fourth proportional to 690,533.46, 952,961.91 and 380,448.65 is: 525,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,533.46 : 952,961.91 = 380,448.65 : x
  2. Step 2: Convert to fraction form
    690,533.46/952,961.91 = 380,448.65/x
  3. Step 3: Cross multiply
    690,533.46x = 952,961.91 × 380,448.65
  4. Step 4: Simplify right side
    690,533.46x = 362,553,067,396.11
  5. Step 5: Solve for x
    x = 362,553,067,396.11/690,533.46
  6. Step 6: Final answer
    x = 525,033.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.