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Finding the Fourth Proportional to 376,430.64, 519,467.80 and 206,663.52

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Solution

The fourth proportional to 376,430.64, 519,467.80 and 206,663.52 is: 285,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,430.64 : 519,467.80 = 206,663.52 : x
  2. Step 2: Convert to fraction form
    376,430.64/519,467.80 = 206,663.52/x
  3. Step 3: Cross multiply
    376,430.64x = 519,467.80 × 206,663.52
  4. Step 4: Simplify right side
    376,430.64x = 107,355,044,074.66
  5. Step 5: Solve for x
    x = 107,355,044,074.66/376,430.64
  6. Step 6: Final answer
    x = 285,192.10

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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.