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Finding the Fourth Proportional to 660,716.38, 991,074.60 and 286,739.38

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Solution

The fourth proportional to 660,716.38, 991,074.60 and 286,739.38 is: 430,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,716.38 : 991,074.60 = 286,739.38 : x
  2. Step 2: Convert to fraction form
    660,716.38/991,074.60 = 286,739.38/x
  3. Step 3: Cross multiply
    660,716.38x = 991,074.60 × 286,739.38
  4. Step 4: Simplify right side
    660,716.38x = 284,180,116,337.75
  5. Step 5: Solve for x
    x = 284,180,116,337.75/660,716.38
  6. Step 6: Final answer
    x = 430,109.08

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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.