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Finding the Fourth Proportional to 523,898.86, 785,853.78 and 419,382.22

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Solution

The fourth proportional to 523,898.86, 785,853.78 and 419,382.22 is: 629,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,898.86 : 785,853.78 = 419,382.22 : x
  2. Step 2: Convert to fraction form
    523,898.86/785,853.78 = 419,382.22/x
  3. Step 3: Cross multiply
    523,898.86x = 785,853.78 × 419,382.22
  4. Step 4: Simplify right side
    523,898.86x = 329,573,102,851.79
  5. Step 5: Solve for x
    x = 329,573,102,851.79/523,898.86
  6. Step 6: Final answer
    x = 629,077.72

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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.