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Finding the Fourth Proportional to 509,628.17, 703,287.32 and 280,189.35

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Solution

The fourth proportional to 509,628.17, 703,287.32 and 280,189.35 is: 386,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,628.17 : 703,287.32 = 280,189.35 : x
  2. Step 2: Convert to fraction form
    509,628.17/703,287.32 = 280,189.35/x
  3. Step 3: Cross multiply
    509,628.17x = 703,287.32 × 280,189.35
  4. Step 4: Simplify right side
    509,628.17x = 197,053,615,653.10
  5. Step 5: Solve for x
    x = 197,053,615,653.10/509,628.17
  6. Step 6: Final answer
    x = 386,661.54

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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.