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Finding the Fourth Proportional to 591,388.86, 816,116.13 and 319,456.67

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Solution

The fourth proportional to 591,388.86, 816,116.13 and 319,456.67 is: 440,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,388.86 : 816,116.13 = 319,456.67 : x
  2. Step 2: Convert to fraction form
    591,388.86/816,116.13 = 319,456.67/x
  3. Step 3: Cross multiply
    591,388.86x = 816,116.13 × 319,456.67
  4. Step 4: Simplify right side
    591,388.86x = 260,713,737,142.51
  5. Step 5: Solve for x
    x = 260,713,737,142.51/591,388.86
  6. Step 6: Final answer
    x = 440,849.93

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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.