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Finding the Fourth Proportional to 509,814.60, 703,562.19 and 280,389.63

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Solution

The fourth proportional to 509,814.60, 703,562.19 and 280,389.63 is: 386,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,814.60 : 703,562.19 = 280,389.63 : x
  2. Step 2: Convert to fraction form
    509,814.60/703,562.19 = 280,389.63/x
  3. Step 3: Cross multiply
    509,814.60x = 703,562.19 × 280,389.63
  4. Step 4: Simplify right side
    509,814.60x = 197,271,542,136.09
  5. Step 5: Solve for x
    x = 197,271,542,136.09/509,814.60
  6. Step 6: Final answer
    x = 386,947.61

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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.