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Finding the Fourth Proportional to 405,162.43, 559,122.01 and 223,886.86

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Solution

The fourth proportional to 405,162.43, 559,122.01 and 223,886.86 is: 308,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,162.43 : 559,122.01 = 223,886.86 : x
  2. Step 2: Convert to fraction form
    405,162.43/559,122.01 = 223,886.86/x
  3. Step 3: Cross multiply
    405,162.43x = 559,122.01 × 223,886.86
  4. Step 4: Simplify right side
    405,162.43x = 125,180,071,175.79
  5. Step 5: Solve for x
    x = 125,180,071,175.79/405,162.43
  6. Step 6: Final answer
    x = 308,962.68

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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.