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Finding the Fourth Proportional to 309,814.42, 427,816.54 and 193,726.84

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Solution

The fourth proportional to 309,814.42, 427,816.54 and 193,726.84 is: 267,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,814.42 : 427,816.54 = 193,726.84 : x
  2. Step 2: Convert to fraction form
    309,814.42/427,816.54 = 193,726.84/x
  3. Step 3: Cross multiply
    309,814.42x = 427,816.54 × 193,726.84
  4. Step 4: Simplify right side
    309,814.42x = 82,879,545,278.99
  5. Step 5: Solve for x
    x = 82,879,545,278.99/309,814.42
  6. Step 6: Final answer
    x = 267,513.52

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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.