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Finding the Fourth Proportional to 406,565.40, 561,059.69 and 225,289.07

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Solution

The fourth proportional to 406,565.40, 561,059.69 and 225,289.07 is: 310,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,565.40 : 561,059.69 = 225,289.07 : x
  2. Step 2: Convert to fraction form
    406,565.40/561,059.69 = 225,289.07/x
  3. Step 3: Cross multiply
    406,565.40x = 561,059.69 × 225,289.07
  4. Step 4: Simplify right side
    406,565.40x = 126,400,615,774.59
  5. Step 5: Solve for x
    x = 126,400,615,774.59/406,565.40
  6. Step 6: Final answer
    x = 310,898.61

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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.