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Finding the Fourth Proportional to 306,663.35, 459,743.47 and 138,133.13

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Solution

The fourth proportional to 306,663.35, 459,743.47 and 138,133.13 is: 207,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,663.35 : 459,743.47 = 138,133.13 : x
  2. Step 2: Convert to fraction form
    306,663.35/459,743.47 = 138,133.13/x
  3. Step 3: Cross multiply
    306,663.35x = 459,743.47 × 138,133.13
  4. Step 4: Simplify right side
    306,663.35x = 63,505,801,864.11
  5. Step 5: Solve for x
    x = 63,505,801,864.11/306,663.35
  6. Step 6: Final answer
    x = 207,086.38

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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.