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Finding the Fourth Proportional to 509,728.50, 703,426.14 and 283,374

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Solution

The fourth proportional to 509,728.50, 703,426.14 and 283,374 is: 391,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,728.50 : 703,426.14 = 283,374 : x
  2. Step 2: Convert to fraction form
    509,728.50/703,426.14 = 283,374/x
  3. Step 3: Cross multiply
    509,728.50x = 703,426.14 × 283,374
  4. Step 4: Simplify right side
    509,728.50x = 199,332,678,996.36
  5. Step 5: Solve for x
    x = 199,332,678,996.36/509,728.50
  6. Step 6: Final answer
    x = 391,056.57

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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.