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Finding the Fourth Proportional to 513,642, 708,828.72 and 287,287.44

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Solution

The fourth proportional to 513,642, 708,828.72 and 287,287.44 is: 396,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,642 : 708,828.72 = 287,287.44 : x
  2. Step 2: Convert to fraction form
    513,642/708,828.72 = 287,287.44/x
  3. Step 3: Cross multiply
    513,642x = 708,828.72 × 287,287.44
  4. Step 4: Simplify right side
    513,642x = 203,637,588,367.28
  5. Step 5: Solve for x
    x = 203,637,588,367.28/513,642
  6. Step 6: Final answer
    x = 396,458.21

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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.