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Finding the Fourth Proportional to 253,516.92, 380,458.52 and 99,665.80

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Solution

The fourth proportional to 253,516.92, 380,458.52 and 99,665.80 is: 149,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,516.92 : 380,458.52 = 99,665.80 : x
  2. Step 2: Convert to fraction form
    253,516.92/380,458.52 = 99,665.80/x
  3. Step 3: Cross multiply
    253,516.92x = 380,458.52 × 99,665.80
  4. Step 4: Simplify right side
    253,516.92x = 37,918,702,762.62
  5. Step 5: Solve for x
    x = 37,918,702,762.62/253,516.92
  6. Step 6: Final answer
    x = 149,570.70

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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.