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Finding the Fourth Proportional to 611,305.85, 917,379.19 and 211,946.64

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Solution

The fourth proportional to 611,305.85, 917,379.19 and 211,946.64 is: 318,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,305.85 : 917,379.19 = 211,946.64 : x
  2. Step 2: Convert to fraction form
    611,305.85/917,379.19 = 211,946.64/x
  3. Step 3: Cross multiply
    611,305.85x = 917,379.19 × 211,946.64
  4. Step 4: Simplify right side
    611,305.85x = 194,435,431,279.79
  5. Step 5: Solve for x
    x = 194,435,431,279.79/611,305.85
  6. Step 6: Final answer
    x = 318,065.72

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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.