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Finding the Fourth Proportional to 225,321.84, 310,978.29 and 128,525.22

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Solution

The fourth proportional to 225,321.84, 310,978.29 and 128,525.22 is: 177,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,321.84 : 310,978.29 = 128,525.22 : x
  2. Step 2: Convert to fraction form
    225,321.84/310,978.29 = 128,525.22/x
  3. Step 3: Cross multiply
    225,321.84x = 310,978.29 × 128,525.22
  4. Step 4: Simplify right side
    225,321.84x = 39,968,553,137.47
  5. Step 5: Solve for x
    x = 39,968,553,137.47/225,321.84
  6. Step 6: Final answer
    x = 177,384.28

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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.