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Finding the Fourth Proportional to 378,899.02, 522,877.30 and 209,129.50

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Solution

The fourth proportional to 378,899.02, 522,877.30 and 209,129.50 is: 288,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,899.02 : 522,877.30 = 209,129.50 : x
  2. Step 2: Convert to fraction form
    378,899.02/522,877.30 = 209,129.50/x
  3. Step 3: Cross multiply
    378,899.02x = 522,877.30 × 209,129.50
  4. Step 4: Simplify right side
    378,899.02x = 109,349,068,310.35
  5. Step 5: Solve for x
    x = 109,349,068,310.35/378,899.02
  6. Step 6: Final answer
    x = 288,596.86

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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.