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Finding the Fourth Proportional to 513,272.20, 708,320.20 and 283,845

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Solution

The fourth proportional to 513,272.20, 708,320.20 and 283,845 is: 391,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,272.20 : 708,320.20 = 283,845 : x
  2. Step 2: Convert to fraction form
    513,272.20/708,320.20 = 283,845/x
  3. Step 3: Cross multiply
    513,272.20x = 708,320.20 × 283,845
  4. Step 4: Simplify right side
    513,272.20x = 201,053,147,169
  5. Step 5: Solve for x
    x = 201,053,147,169/513,272.20
  6. Step 6: Final answer
    x = 391,708.62

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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.