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Finding the Fourth Proportional to 479,004.12, 661,029.84 and 264,151.80

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Solution

The fourth proportional to 479,004.12, 661,029.84 and 264,151.80 is: 364,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,004.12 : 661,029.84 = 264,151.80 : x
  2. Step 2: Convert to fraction form
    479,004.12/661,029.84 = 264,151.80/x
  3. Step 3: Cross multiply
    479,004.12x = 661,029.84 × 264,151.80
  4. Step 4: Simplify right side
    479,004.12x = 174,612,222,089.71
  5. Step 5: Solve for x
    x = 174,612,222,089.71/479,004.12
  6. Step 6: Final answer
    x = 364,531.77

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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.