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Finding the Fourth Proportional to 680,771.55, 1,021,268.16 and 201,047.91

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Solution

The fourth proportional to 680,771.55, 1,021,268.16 and 201,047.91 is: 301,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,771.55 : 1,021,268.16 = 201,047.91 : x
  2. Step 2: Convert to fraction form
    680,771.55/1,021,268.16 = 201,047.91/x
  3. Step 3: Cross multiply
    680,771.55x = 1,021,268.16 × 201,047.91
  4. Step 4: Simplify right side
    680,771.55x = 205,323,829,117.55
  5. Step 5: Solve for x
    x = 205,323,829,117.55/680,771.55
  6. Step 6: Final answer
    x = 301,604.60

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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.