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Finding the Fourth Proportional to 515,803.86, 711,823.41 and 289,463.22

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Solution

The fourth proportional to 515,803.86, 711,823.41 and 289,463.22 is: 399,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,803.86 : 711,823.41 = 289,463.22 : x
  2. Step 2: Convert to fraction form
    515,803.86/711,823.41 = 289,463.22/x
  3. Step 3: Cross multiply
    515,803.86x = 711,823.41 × 289,463.22
  4. Step 4: Simplify right side
    515,803.86x = 206,046,696,329.98
  5. Step 5: Solve for x
    x = 206,046,696,329.98/515,803.86
  6. Step 6: Final answer
    x = 399,467.15

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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.