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Finding the Fourth Proportional to 509,688.45, 703,388.13 and 280,263.21

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Solution

The fourth proportional to 509,688.45, 703,388.13 and 280,263.21 is: 386,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,688.45 : 703,388.13 = 280,263.21 : x
  2. Step 2: Convert to fraction form
    509,688.45/703,388.13 = 280,263.21/x
  3. Step 3: Cross multiply
    509,688.45x = 703,388.13 × 280,263.21
  4. Step 4: Simplify right side
    509,688.45x = 197,133,815,189.70
  5. Step 5: Solve for x
    x = 197,133,815,189.70/509,688.45
  6. Step 6: Final answer
    x = 386,773.17

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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.