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Finding the Fourth Proportional to 525,886.05, 725,722.47 and 284,168.56

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Solution

The fourth proportional to 525,886.05, 725,722.47 and 284,168.56 is: 392,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,886.05 : 725,722.47 = 284,168.56 : x
  2. Step 2: Convert to fraction form
    525,886.05/725,722.47 = 284,168.56/x
  3. Step 3: Cross multiply
    525,886.05x = 725,722.47 × 284,168.56
  4. Step 4: Simplify right side
    525,886.05x = 206,227,509,259.54
  5. Step 5: Solve for x
    x = 206,227,509,259.54/525,886.05
  6. Step 6: Final answer
    x = 392,152.46

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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.