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Finding the Fourth Proportional to 397,409.22, 548,412.53 and 225,342.95

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Solution

The fourth proportional to 397,409.22, 548,412.53 and 225,342.95 is: 310,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,409.22 : 548,412.53 = 225,342.95 : x
  2. Step 2: Convert to fraction form
    397,409.22/548,412.53 = 225,342.95/x
  3. Step 3: Cross multiply
    397,409.22x = 548,412.53 × 225,342.95
  4. Step 4: Simplify right side
    397,409.22x = 123,580,893,458.39
  5. Step 5: Solve for x
    x = 123,580,893,458.39/397,409.22
  6. Step 6: Final answer
    x = 310,966.35

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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.