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Finding the Fourth Proportional to 500,971.52, 691,368.90 and 297,143.12

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Solution

The fourth proportional to 500,971.52, 691,368.90 and 297,143.12 is: 410,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,971.52 : 691,368.90 = 297,143.12 : x
  2. Step 2: Convert to fraction form
    500,971.52/691,368.90 = 297,143.12/x
  3. Step 3: Cross multiply
    500,971.52x = 691,368.90 × 297,143.12
  4. Step 4: Simplify right side
    500,971.52x = 205,435,512,016.97
  5. Step 5: Solve for x
    x = 205,435,512,016.97/500,971.52
  6. Step 6: Final answer
    x = 410,074.23

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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.