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Finding the Fourth Proportional to 509,744.43, 703,370.22 and 291,919.23

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Solution

The fourth proportional to 509,744.43, 703,370.22 and 291,919.23 is: 402,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,744.43 : 703,370.22 = 291,919.23 : x
  2. Step 2: Convert to fraction form
    509,744.43/703,370.22 = 291,919.23/x
  3. Step 3: Cross multiply
    509,744.43x = 703,370.22 × 291,919.23
  4. Step 4: Simplify right side
    509,744.43x = 205,327,293,027.33
  5. Step 5: Solve for x
    x = 205,327,293,027.33/509,744.43
  6. Step 6: Final answer
    x = 402,804.39

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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.