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Finding the Fourth Proportional to 439,813.64, 659,827.92 and 140,294.27

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Solution

The fourth proportional to 439,813.64, 659,827.92 and 140,294.27 is: 210,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,813.64 : 659,827.92 = 140,294.27 : x
  2. Step 2: Convert to fraction form
    439,813.64/659,827.92 = 140,294.27/x
  3. Step 3: Cross multiply
    439,813.64x = 659,827.92 × 140,294.27
  4. Step 4: Simplify right side
    439,813.64x = 92,570,076,362.02
  5. Step 5: Solve for x
    x = 92,570,076,362.02/439,813.64
  6. Step 6: Final answer
    x = 210,475.68

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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.