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Finding the Fourth Proportional to 504,169.86, 695,723.13 and 289,327.62

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Solution

The fourth proportional to 504,169.86, 695,723.13 and 289,327.62 is: 399,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,169.86 : 695,723.13 = 289,327.62 : x
  2. Step 2: Convert to fraction form
    504,169.86/695,723.13 = 289,327.62/x
  3. Step 3: Cross multiply
    504,169.86x = 695,723.13 × 289,327.62
  4. Step 4: Simplify right side
    504,169.86x = 201,291,917,381.85
  5. Step 5: Solve for x
    x = 201,291,917,381.85/504,169.86
  6. Step 6: Final answer
    x = 399,254.17

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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.