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Finding the Fourth Proportional to 380,432.07, 524,906.07 and 225,305.04

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Solution

The fourth proportional to 380,432.07, 524,906.07 and 225,305.04 is: 310,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,432.07 : 524,906.07 = 225,305.04 : x
  2. Step 2: Convert to fraction form
    380,432.07/524,906.07 = 225,305.04/x
  3. Step 3: Cross multiply
    380,432.07x = 524,906.07 × 225,305.04
  4. Step 4: Simplify right side
    380,432.07x = 118,263,983,097.59
  5. Step 5: Solve for x
    x = 118,263,983,097.59/380,432.07
  6. Step 6: Final answer
    x = 310,867.54

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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.