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Finding the Fourth Proportional to 509,797.34, 703,506.31 and 280,354.64

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Solution

The fourth proportional to 509,797.34, 703,506.31 and 280,354.64 is: 386,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,797.34 : 703,506.31 = 280,354.64 : x
  2. Step 2: Convert to fraction form
    509,797.34/703,506.31 = 280,354.64/x
  3. Step 3: Cross multiply
    509,797.34x = 703,506.31 × 280,354.64
  4. Step 4: Simplify right side
    509,797.34x = 197,231,255,636.36
  5. Step 5: Solve for x
    x = 197,231,255,636.36/509,797.34
  6. Step 6: Final answer
    x = 386,881.69

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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.