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Finding the Fourth Proportional to 361,283.52, 498,735.98 and 257,995.56

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Solution

The fourth proportional to 361,283.52, 498,735.98 and 257,995.56 is: 356,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,283.52 : 498,735.98 = 257,995.56 : x
  2. Step 2: Convert to fraction form
    361,283.52/498,735.98 = 257,995.56/x
  3. Step 3: Cross multiply
    361,283.52x = 498,735.98 × 257,995.56
  4. Step 4: Simplify right side
    361,283.52x = 128,671,671,451.24
  5. Step 5: Solve for x
    x = 128,671,671,451.24/361,283.52
  6. Step 6: Final answer
    x = 356,151.51

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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.