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Finding the Fourth Proportional to 415,424.51, 622,887.18 and 162,403.64

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Solution

The fourth proportional to 415,424.51, 622,887.18 and 162,403.64 is: 243,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,424.51 : 622,887.18 = 162,403.64 : x
  2. Step 2: Convert to fraction form
    415,424.51/622,887.18 = 162,403.64/x
  3. Step 3: Cross multiply
    415,424.51x = 622,887.18 × 162,403.64
  4. Step 4: Simplify right side
    415,424.51x = 101,159,142,226.90
  5. Step 5: Solve for x
    x = 101,159,142,226.90/415,424.51
  6. Step 6: Final answer
    x = 243,507.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.