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Finding the Fourth Proportional to 513,505.71, 708,633.72 and 287,151.21

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Solution

The fourth proportional to 513,505.71, 708,633.72 and 287,151.21 is: 396,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,505.71 : 708,633.72 = 287,151.21 : x
  2. Step 2: Convert to fraction form
    513,505.71/708,633.72 = 287,151.21/x
  3. Step 3: Cross multiply
    513,505.71x = 708,633.72 × 287,151.21
  4. Step 4: Simplify right side
    513,505.71x = 203,485,030,144.80
  5. Step 5: Solve for x
    x = 203,485,030,144.80/513,505.71
  6. Step 6: Final answer
    x = 396,266.34

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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.