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Finding the Fourth Proportional to 498,063.76, 687,324.78 and 283,203.82

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Solution

The fourth proportional to 498,063.76, 687,324.78 and 283,203.82 is: 390,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,063.76 : 687,324.78 = 283,203.82 : x
  2. Step 2: Convert to fraction form
    498,063.76/687,324.78 = 283,203.82/x
  3. Step 3: Cross multiply
    498,063.76x = 687,324.78 × 283,203.82
  4. Step 4: Simplify right side
    498,063.76x = 194,653,003,276.66
  5. Step 5: Solve for x
    x = 194,653,003,276.66/498,063.76
  6. Step 6: Final answer
    x = 390,819.45

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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.