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Finding the Fourth Proportional to 509,991.36, 703,812.96 and 283,632

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Solution

The fourth proportional to 509,991.36, 703,812.96 and 283,632 is: 391,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,991.36 : 703,812.96 = 283,632 : x
  2. Step 2: Convert to fraction form
    509,991.36/703,812.96 = 283,632/x
  3. Step 3: Cross multiply
    509,991.36x = 703,812.96 × 283,632
  4. Step 4: Simplify right side
    509,991.36x = 199,623,877,470.72
  5. Step 5: Solve for x
    x = 199,623,877,470.72/509,991.36
  6. Step 6: Final answer
    x = 391,426.00

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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.