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Finding the Fourth Proportional to 509,722.78, 703,437.69 and 280,298.87

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Solution

The fourth proportional to 509,722.78, 703,437.69 and 280,298.87 is: 386,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,722.78 : 703,437.69 = 280,298.87 : x
  2. Step 2: Convert to fraction form
    509,722.78/703,437.69 = 280,298.87/x
  3. Step 3: Cross multiply
    509,722.78x = 703,437.69 × 280,298.87
  4. Step 4: Simplify right side
    509,722.78x = 197,172,789,622.41
  5. Step 5: Solve for x
    x = 197,172,789,622.41/509,722.78
  6. Step 6: Final answer
    x = 386,823.58

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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.