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Finding the Fourth Proportional to 453,613.47, 680,434.94 and 133,738.51

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Solution

The fourth proportional to 453,613.47, 680,434.94 and 133,738.51 is: 200,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,613.47 : 680,434.94 = 133,738.51 : x
  2. Step 2: Convert to fraction form
    453,613.47/680,434.94 = 133,738.51/x
  3. Step 3: Cross multiply
    453,613.47x = 680,434.94 × 133,738.51
  4. Step 4: Simplify right side
    453,613.47x = 91,000,355,027.54
  5. Step 5: Solve for x
    x = 91,000,355,027.54/453,613.47
  6. Step 6: Final answer
    x = 200,612.11

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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.