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Finding the Fourth Proportional to 287,561.10, 396,835.90 and 166,774.01

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Solution

The fourth proportional to 287,561.10, 396,835.90 and 166,774.01 is: 230,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,561.10 : 396,835.90 = 166,774.01 : x
  2. Step 2: Convert to fraction form
    287,561.10/396,835.90 = 166,774.01/x
  3. Step 3: Cross multiply
    287,561.10x = 396,835.90 × 166,774.01
  4. Step 4: Simplify right side
    287,561.10x = 66,181,911,953.84
  5. Step 5: Solve for x
    x = 66,181,911,953.84/287,561.10
  6. Step 6: Final answer
    x = 230,149.04

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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.