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Finding the Fourth Proportional to 225,477.64, 338,387.82 and 83,457.28

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Solution

The fourth proportional to 225,477.64, 338,387.82 and 83,457.28 is: 125,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,477.64 : 338,387.82 = 83,457.28 : x
  2. Step 2: Convert to fraction form
    225,477.64/338,387.82 = 83,457.28/x
  3. Step 3: Cross multiply
    225,477.64x = 338,387.82 × 83,457.28
  4. Step 4: Simplify right side
    225,477.64x = 28,240,927,042.33
  5. Step 5: Solve for x
    x = 28,240,927,042.33/225,477.64
  6. Step 6: Final answer
    x = 125,249.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.