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Finding the Fourth Proportional to 459,062.72, 632,838.90 and 320,812.42

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Solution

The fourth proportional to 459,062.72, 632,838.90 and 320,812.42 is: 442,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,062.72 : 632,838.90 = 320,812.42 : x
  2. Step 2: Convert to fraction form
    459,062.72/632,838.90 = 320,812.42/x
  3. Step 3: Cross multiply
    459,062.72x = 632,838.90 × 320,812.42
  4. Step 4: Simplify right side
    459,062.72x = 203,022,578,979.14
  5. Step 5: Solve for x
    x = 203,022,578,979.14/459,062.72
  6. Step 6: Final answer
    x = 442,254.56

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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.