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Finding the Fourth Proportional to 407,287.43, 562,029.63 and 225,987.86

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Solution

The fourth proportional to 407,287.43, 562,029.63 and 225,987.86 is: 311,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,287.43 : 562,029.63 = 225,987.86 : x
  2. Step 2: Convert to fraction form
    407,287.43/562,029.63 = 225,987.86/x
  3. Step 3: Cross multiply
    407,287.43x = 562,029.63 × 225,987.86
  4. Step 4: Simplify right side
    407,287.43x = 127,011,870,530.14
  5. Step 5: Solve for x
    x = 127,011,870,530.14/407,287.43
  6. Step 6: Final answer
    x = 311,848.25

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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.