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Finding the Fourth Proportional to 509,822.79, 703,703.34 and 316,289.49

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Solution

The fourth proportional to 509,822.79, 703,703.34 and 316,289.49 is: 436,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,822.79 : 703,703.34 = 316,289.49 : x
  2. Step 2: Convert to fraction form
    509,822.79/703,703.34 = 316,289.49/x
  3. Step 3: Cross multiply
    509,822.79x = 703,703.34 × 316,289.49
  4. Step 4: Simplify right side
    509,822.79x = 222,573,970,519.90
  5. Step 5: Solve for x
    x = 222,573,970,519.90/509,822.79
  6. Step 6: Final answer
    x = 436,571.25

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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.