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Finding the Fourth Proportional to 513,941.88, 709,231.22 and 284,494.32

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Solution

The fourth proportional to 513,941.88, 709,231.22 and 284,494.32 is: 392,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,941.88 : 709,231.22 = 284,494.32 : x
  2. Step 2: Convert to fraction form
    513,941.88/709,231.22 = 284,494.32/x
  3. Step 3: Cross multiply
    513,941.88x = 709,231.22 × 284,494.32
  4. Step 4: Simplify right side
    513,941.88x = 201,772,252,234.20
  5. Step 5: Solve for x
    x = 201,772,252,234.20/513,941.88
  6. Step 6: Final answer
    x = 392,597.41

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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.