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Finding the Fourth Proportional to 459,707.86, 633,993.06 and 321,816.16

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Solution

The fourth proportional to 459,707.86, 633,993.06 and 321,816.16 is: 443,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,707.86 : 633,993.06 = 321,816.16 : x
  2. Step 2: Convert to fraction form
    459,707.86/633,993.06 = 321,816.16/x
  3. Step 3: Cross multiply
    459,707.86x = 633,993.06 × 321,816.16
  4. Step 4: Simplify right side
    459,707.86x = 204,029,212,035.85
  5. Step 5: Solve for x
    x = 204,029,212,035.85/459,707.86
  6. Step 6: Final answer
    x = 443,823.63

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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.