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Finding the Fourth Proportional to 257,004.92, 385,299.54 and 107,359.82

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Solution

The fourth proportional to 257,004.92, 385,299.54 and 107,359.82 is: 160,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,004.92 : 385,299.54 = 107,359.82 : x
  2. Step 2: Convert to fraction form
    257,004.92/385,299.54 = 107,359.82/x
  3. Step 3: Cross multiply
    257,004.92x = 385,299.54 × 107,359.82
  4. Step 4: Simplify right side
    257,004.92x = 41,365,689,260.48
  5. Step 5: Solve for x
    x = 41,365,689,260.48/257,004.92
  6. Step 6: Final answer
    x = 160,952.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.