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Finding the Fourth Proportional to 509,712.70, 703,342.02 and 280,232.14

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Solution

The fourth proportional to 509,712.70, 703,342.02 and 280,232.14 is: 386,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,712.70 : 703,342.02 = 280,232.14 : x
  2. Step 2: Convert to fraction form
    509,712.70/703,342.02 = 280,232.14/x
  3. Step 3: Cross multiply
    509,712.70x = 703,342.02 × 280,232.14
  4. Step 4: Simplify right side
    509,712.70x = 197,099,039,416.52
  5. Step 5: Solve for x
    x = 197,099,039,416.52/509,712.70
  6. Step 6: Final answer
    x = 386,686.54

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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.