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Finding the Fourth Proportional to 502,173.68, 693,120.36 and 287,438.24

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Solution

The fourth proportional to 502,173.68, 693,120.36 and 287,438.24 is: 396,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,173.68 : 693,120.36 = 287,438.24 : x
  2. Step 2: Convert to fraction form
    502,173.68/693,120.36 = 287,438.24/x
  3. Step 3: Cross multiply
    502,173.68x = 693,120.36 × 287,438.24
  4. Step 4: Simplify right side
    502,173.68x = 199,229,296,386.57
  5. Step 5: Solve for x
    x = 199,229,296,386.57/502,173.68
  6. Step 6: Final answer
    x = 396,733.85

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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.