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Finding the Fourth Proportional to 405,113.58, 559,062.60 and 223,829.68

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Solution

The fourth proportional to 405,113.58, 559,062.60 and 223,829.68 is: 308,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,113.58 : 559,062.60 = 223,829.68 : x
  2. Step 2: Convert to fraction form
    405,113.58/559,062.60 = 223,829.68/x
  3. Step 3: Cross multiply
    405,113.58x = 559,062.60 × 223,829.68
  4. Step 4: Simplify right side
    405,113.58x = 125,134,802,857.97
  5. Step 5: Solve for x
    x = 125,134,802,857.97/405,113.58
  6. Step 6: Final answer
    x = 308,888.20

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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.