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Finding the Fourth Proportional to 500,879.88, 691,112.10 and 296,841

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Solution

The fourth proportional to 500,879.88, 691,112.10 and 296,841 is: 409,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,879.88 : 691,112.10 = 296,841 : x
  2. Step 2: Convert to fraction form
    500,879.88/691,112.10 = 296,841/x
  3. Step 3: Cross multiply
    500,879.88x = 691,112.10 × 296,841
  4. Step 4: Simplify right side
    500,879.88x = 205,150,406,876.10
  5. Step 5: Solve for x
    x = 205,150,406,876.10/500,879.88
  6. Step 6: Final answer
    x = 409,580.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.