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Finding the Fourth Proportional to 509,730.72, 703,446.48 and 280,305.60

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Solution

The fourth proportional to 509,730.72, 703,446.48 and 280,305.60 is: 386,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,730.72 : 703,446.48 = 280,305.60 : x
  2. Step 2: Convert to fraction form
    509,730.72/703,446.48 = 280,305.60/x
  3. Step 3: Cross multiply
    509,730.72x = 703,446.48 × 280,305.60
  4. Step 4: Simplify right side
    509,730.72x = 197,179,987,644.29
  5. Step 5: Solve for x
    x = 197,179,987,644.29/509,730.72
  6. Step 6: Final answer
    x = 386,831.67

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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.