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Finding the Fourth Proportional to 525,839.33, 725,658.61 and 284,121.87

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Solution

The fourth proportional to 525,839.33, 725,658.61 and 284,121.87 is: 392,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,839.33 : 725,658.61 = 284,121.87 : x
  2. Step 2: Convert to fraction form
    525,839.33/725,658.61 = 284,121.87/x
  3. Step 3: Cross multiply
    525,839.33x = 725,658.61 × 284,121.87
  4. Step 4: Simplify right side
    525,839.33x = 206,175,477,626.51
  5. Step 5: Solve for x
    x = 206,175,477,626.51/525,839.33
  6. Step 6: Final answer
    x = 392,088.35

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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.