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Finding the Fourth Proportional to 225,513, 311,130.54 and 128,647.26

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Solution

The fourth proportional to 225,513, 311,130.54 and 128,647.26 is: 177,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,513 : 311,130.54 = 128,647.26 : x
  2. Step 2: Convert to fraction form
    225,513/311,130.54 = 128,647.26/x
  3. Step 3: Cross multiply
    225,513x = 311,130.54 × 128,647.26
  4. Step 4: Simplify right side
    225,513x = 40,026,091,473.32
  5. Step 5: Solve for x
    x = 40,026,091,473.32/225,513
  6. Step 6: Final answer
    x = 177,489.06

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1.5x scale

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.