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Finding the Fourth Proportional to 509,699.96, 703,404.01 and 280,274.70

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Solution

The fourth proportional to 509,699.96, 703,404.01 and 280,274.70 is: 386,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,699.96 : 703,404.01 = 280,274.70 : x
  2. Step 2: Convert to fraction form
    509,699.96/703,404.01 = 280,274.70/x
  3. Step 3: Cross multiply
    509,699.96x = 703,404.01 × 280,274.70
  4. Step 4: Simplify right side
    509,699.96x = 197,146,347,881.55
  5. Step 5: Solve for x
    x = 197,146,347,881.55/509,699.96
  6. Step 6: Final answer
    x = 386,789.02

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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.