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Finding the Fourth Proportional to 459,713.88, 634,001.32 and 321,822.16

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Solution

The fourth proportional to 459,713.88, 634,001.32 and 321,822.16 is: 443,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,713.88 : 634,001.32 = 321,822.16 : x
  2. Step 2: Convert to fraction form
    459,713.88/634,001.32 = 321,822.16/x
  3. Step 3: Cross multiply
    459,713.88x = 634,001.32 × 321,822.16
  4. Step 4: Simplify right side
    459,713.88x = 204,035,674,245.25
  5. Step 5: Solve for x
    x = 204,035,674,245.25/459,713.88
  6. Step 6: Final answer
    x = 443,831.88

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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.