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Finding the Fourth Proportional to 689,952.97, 952,153.59 and 379,864.98

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Solution

The fourth proportional to 689,952.97, 952,153.59 and 379,864.98 is: 524,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,952.97 : 952,153.59 = 379,864.98 : x
  2. Step 2: Convert to fraction form
    689,952.97/952,153.59 = 379,864.98/x
  3. Step 3: Cross multiply
    689,952.97x = 952,153.59 × 379,864.98
  4. Step 4: Simplify right side
    689,952.97x = 361,689,809,865.40
  5. Step 5: Solve for x
    x = 361,689,809,865.40/689,952.97
  6. Step 6: Final answer
    x = 524,223.86

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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.