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Finding the Fourth Proportional to 500,752.86, 751,252.41 and 145,769.96

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Solution

The fourth proportional to 500,752.86, 751,252.41 and 145,769.96 is: 218,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,752.86 : 751,252.41 = 145,769.96 : x
  2. Step 2: Convert to fraction form
    500,752.86/751,252.41 = 145,769.96/x
  3. Step 3: Cross multiply
    500,752.86x = 751,252.41 × 145,769.96
  4. Step 4: Simplify right side
    500,752.86x = 109,510,029,999.34
  5. Step 5: Solve for x
    x = 109,510,029,999.34/500,752.86
  6. Step 6: Final answer
    x = 218,690.77

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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.