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Finding the Fourth Proportional to 561,569, 774,953.72 and 306,922.04

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Solution

The fourth proportional to 561,569, 774,953.72 and 306,922.04 is: 423,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,569 : 774,953.72 = 306,922.04 : x
  2. Step 2: Convert to fraction form
    561,569/774,953.72 = 306,922.04/x
  3. Step 3: Cross multiply
    561,569x = 774,953.72 × 306,922.04
  4. Step 4: Simplify right side
    561,569x = 237,850,376,647.99
  5. Step 5: Solve for x
    x = 237,850,376,647.99/561,569
  6. Step 6: Final answer
    x = 423,546.13

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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.