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Finding the Fourth Proportional to 509,838.72, 703,585.56 and 280,406.08

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Solution

The fourth proportional to 509,838.72, 703,585.56 and 280,406.08 is: 386,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,838.72 : 703,585.56 = 280,406.08 : x
  2. Step 2: Convert to fraction form
    509,838.72/703,585.56 = 280,406.08/x
  3. Step 3: Cross multiply
    509,838.72x = 703,585.56 × 280,406.08
  4. Step 4: Simplify right side
    509,838.72x = 197,289,668,824.21
  5. Step 5: Solve for x
    x = 197,289,668,824.21/509,838.72
  6. Step 6: Final answer
    x = 386,964.86

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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.