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Finding the Fourth Proportional to 348,564.70, 522,069.45 and 286,356.70

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Solution

The fourth proportional to 348,564.70, 522,069.45 and 286,356.70 is: 428,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,564.70 : 522,069.45 = 286,356.70 : x
  2. Step 2: Convert to fraction form
    348,564.70/522,069.45 = 286,356.70/x
  3. Step 3: Cross multiply
    348,564.70x = 522,069.45 × 286,356.70
  4. Step 4: Simplify right side
    348,564.70x = 149,498,084,872.82
  5. Step 5: Solve for x
    x = 149,498,084,872.82/348,564.70
  6. Step 6: Final answer
    x = 428,896.23

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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.