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Finding the Fourth Proportional to 309,614.48, 427,086.53 and 194,710.87

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Solution

The fourth proportional to 309,614.48, 427,086.53 and 194,710.87 is: 268,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,614.48 : 427,086.53 = 194,710.87 : x
  2. Step 2: Convert to fraction form
    309,614.48/427,086.53 = 194,710.87/x
  3. Step 3: Cross multiply
    309,614.48x = 427,086.53 × 194,710.87
  4. Step 4: Simplify right side
    309,614.48x = 83,158,389,821.58
  5. Step 5: Solve for x
    x = 83,158,389,821.58/309,614.48
  6. Step 6: Final answer
    x = 268,586.89

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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.