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Finding the Fourth Proportional to 407,231.92, 562,010.88 and 225,978.14

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Solution

The fourth proportional to 407,231.92, 562,010.88 and 225,978.14 is: 311,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,231.92 : 562,010.88 = 225,978.14 : x
  2. Step 2: Convert to fraction form
    407,231.92/562,010.88 = 225,978.14/x
  3. Step 3: Cross multiply
    407,231.92x = 562,010.88 × 225,978.14
  4. Step 4: Simplify right side
    407,231.92x = 127,002,173,322.16
  5. Step 5: Solve for x
    x = 127,002,173,322.16/407,231.92
  6. Step 6: Final answer
    x = 311,866.94

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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.