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Finding the Fourth Proportional to 659,853.66, 989,771.85 and 161,221.98

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Solution

The fourth proportional to 659,853.66, 989,771.85 and 161,221.98 is: 241,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,853.66 : 989,771.85 = 161,221.98 : x
  2. Step 2: Convert to fraction form
    659,853.66/989,771.85 = 161,221.98/x
  3. Step 3: Cross multiply
    659,853.66x = 989,771.85 × 161,221.98
  4. Step 4: Simplify right side
    659,853.66x = 159,572,977,405.26
  5. Step 5: Solve for x
    x = 159,572,977,405.26/659,853.66
  6. Step 6: Final answer
    x = 241,830.86

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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.