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Finding the Fourth Proportional to 224,218.81, 309,231.61 and 189,463.74

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Solution

The fourth proportional to 224,218.81, 309,231.61 and 189,463.74 is: 261,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,218.81 : 309,231.61 = 189,463.74 : x
  2. Step 2: Convert to fraction form
    224,218.81/309,231.61 = 189,463.74/x
  3. Step 3: Cross multiply
    224,218.81x = 309,231.61 × 189,463.74
  4. Step 4: Simplify right side
    224,218.81x = 58,588,176,411.04
  5. Step 5: Solve for x
    x = 58,588,176,411.04/224,218.81
  6. Step 6: Final answer
    x = 261,299.11

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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.