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Finding the Fourth Proportional to 509,838.49, 703,561.93 and 280,395.46

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Solution

The fourth proportional to 509,838.49, 703,561.93 and 280,395.46 is: 386,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,838.49 : 703,561.93 = 280,395.46 : x
  2. Step 2: Convert to fraction form
    509,838.49/703,561.93 = 280,395.46/x
  3. Step 3: Cross multiply
    509,838.49x = 703,561.93 × 280,395.46
  4. Step 4: Simplify right side
    509,838.49x = 197,275,571,000.84
  5. Step 5: Solve for x
    x = 197,275,571,000.84/509,838.49
  6. Step 6: Final answer
    x = 386,937.38

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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.