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Finding the Fourth Proportional to 287,218.40, 430,827.60 and 161,247.20

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Solution

The fourth proportional to 287,218.40, 430,827.60 and 161,247.20 is: 241,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,218.40 : 430,827.60 = 161,247.20 : x
  2. Step 2: Convert to fraction form
    287,218.40/430,827.60 = 161,247.20/x
  3. Step 3: Cross multiply
    287,218.40x = 430,827.60 × 161,247.20
  4. Step 4: Simplify right side
    287,218.40x = 69,469,744,182.72
  5. Step 5: Solve for x
    x = 69,469,744,182.72/287,218.40
  6. Step 6: Final answer
    x = 241,870.80

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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.