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Finding the Fourth Proportional to 509,720.56, 703,429.68 and 280,265.98

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Solution

The fourth proportional to 509,720.56, 703,429.68 and 280,265.98 is: 386,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,720.56 : 703,429.68 = 280,265.98 : x
  2. Step 2: Convert to fraction form
    509,720.56/703,429.68 = 280,265.98/x
  3. Step 3: Cross multiply
    509,720.56x = 703,429.68 × 280,265.98
  4. Step 4: Simplify right side
    509,720.56x = 197,147,408,626.29
  5. Step 5: Solve for x
    x = 197,147,408,626.29/509,720.56
  6. Step 6: Final answer
    x = 386,775.47

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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.