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Finding the Fourth Proportional to 509,763.81, 703,491.75 and 280,330.50

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Solution

The fourth proportional to 509,763.81, 703,491.75 and 280,330.50 is: 386,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,763.81 : 703,491.75 = 280,330.50 : x
  2. Step 2: Convert to fraction form
    509,763.81/703,491.75 = 280,330.50/x
  3. Step 3: Cross multiply
    509,763.81x = 703,491.75 × 280,330.50
  4. Step 4: Simplify right side
    509,763.81x = 197,210,194,023.38
  5. Step 5: Solve for x
    x = 197,210,194,023.38/509,763.81
  6. Step 6: Final answer
    x = 386,865.82

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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.