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Finding the Fourth Proportional to 407,225.83, 561,971.71 and 225,937.32

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Solution

The fourth proportional to 407,225.83, 561,971.71 and 225,937.32 is: 311,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,225.83 : 561,971.71 = 225,937.32 : x
  2. Step 2: Convert to fraction form
    407,225.83/561,971.71 = 225,937.32/x
  3. Step 3: Cross multiply
    407,225.83x = 561,971.71 × 225,937.32
  4. Step 4: Simplify right side
    407,225.83x = 126,970,382,073.22
  5. Step 5: Solve for x
    x = 126,970,382,073.22/407,225.83
  6. Step 6: Final answer
    x = 311,793.54

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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.