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Finding the Fourth Proportional to 513,940.39, 709,229.15 and 284,492.82

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Solution

The fourth proportional to 513,940.39, 709,229.15 and 284,492.82 is: 392,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,940.39 : 709,229.15 = 284,492.82 : x
  2. Step 2: Convert to fraction form
    513,940.39/709,229.15 = 284,492.82/x
  3. Step 3: Cross multiply
    513,940.39x = 709,229.15 × 284,492.82
  4. Step 4: Simplify right side
    513,940.39x = 201,770,600,521.69
  5. Step 5: Solve for x
    x = 201,770,600,521.69/513,940.39
  6. Step 6: Final answer
    x = 392,595.34

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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.