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Finding the Fourth Proportional to 525,772.40, 725,566.25 and 284,054.87

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Solution

The fourth proportional to 525,772.40, 725,566.25 and 284,054.87 is: 391,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,772.40 : 725,566.25 = 284,054.87 : x
  2. Step 2: Convert to fraction form
    525,772.40/725,566.25 = 284,054.87/x
  3. Step 3: Cross multiply
    525,772.40x = 725,566.25 × 284,054.87
  4. Step 4: Simplify right side
    525,772.40x = 206,100,629,344.19
  5. Step 5: Solve for x
    x = 206,100,629,344.19/525,772.40
  6. Step 6: Final answer
    x = 391,995.91

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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.