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Finding the Fourth Proportional to 557,168.86, 768,896.09 and 302,520.05

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Solution

The fourth proportional to 557,168.86, 768,896.09 and 302,520.05 is: 417,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,168.86 : 768,896.09 = 302,520.05 : x
  2. Step 2: Convert to fraction form
    557,168.86/768,896.09 = 302,520.05/x
  3. Step 3: Cross multiply
    557,168.86x = 768,896.09 × 302,520.05
  4. Step 4: Simplify right side
    557,168.86x = 232,606,482,079.00
  5. Step 5: Solve for x
    x = 232,606,482,079.00/557,168.86
  6. Step 6: Final answer
    x = 417,479.33

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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.