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Finding the Fourth Proportional to 224,502.80, 309,854 and 133,864.60

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Solution

The fourth proportional to 224,502.80, 309,854 and 133,864.60 is: 184,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,502.80 : 309,854 = 133,864.60 : x
  2. Step 2: Convert to fraction form
    224,502.80/309,854 = 133,864.60/x
  3. Step 3: Cross multiply
    224,502.80x = 309,854 × 133,864.60
  4. Step 4: Simplify right side
    224,502.80x = 41,478,481,768.40
  5. Step 5: Solve for x
    x = 41,478,481,768.40/224,502.80
  6. Step 6: Final answer
    x = 184,757.08

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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.