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Finding the Fourth Proportional to 513,883.49, 709,141.12 and 284,441.22

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Solution

The fourth proportional to 513,883.49, 709,141.12 and 284,441.22 is: 392,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,883.49 : 709,141.12 = 284,441.22 : x
  2. Step 2: Convert to fraction form
    513,883.49/709,141.12 = 284,441.22/x
  3. Step 3: Cross multiply
    513,883.49x = 709,141.12 × 284,441.22
  4. Step 4: Simplify right side
    513,883.49x = 201,708,964,613.86
  5. Step 5: Solve for x
    x = 201,708,964,613.86/513,883.49
  6. Step 6: Final answer
    x = 392,518.87

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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.