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Finding the Fourth Proportional to 427,533.96, 640,805.22 and 161,123.88

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Solution

The fourth proportional to 427,533.96, 640,805.22 and 161,123.88 is: 241,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,533.96 : 640,805.22 = 161,123.88 : x
  2. Step 2: Convert to fraction form
    427,533.96/640,805.22 = 161,123.88/x
  3. Step 3: Cross multiply
    427,533.96x = 640,805.22 × 161,123.88
  4. Step 4: Simplify right side
    427,533.96x = 103,249,023,370.65
  5. Step 5: Solve for x
    x = 103,249,023,370.65/427,533.96
  6. Step 6: Final answer
    x = 241,499.00

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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.