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Finding the Fourth Proportional to 509,801.84, 703,544.60 and 280,376.86

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Solution

The fourth proportional to 509,801.84, 703,544.60 and 280,376.86 is: 386,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,801.84 : 703,544.60 = 280,376.86 : x
  2. Step 2: Convert to fraction form
    509,801.84/703,544.60 = 280,376.86/x
  3. Step 3: Cross multiply
    509,801.84x = 703,544.60 × 280,376.86
  4. Step 4: Simplify right side
    509,801.84x = 197,257,622,657.21
  5. Step 5: Solve for x
    x = 197,257,622,657.21/509,801.84
  6. Step 6: Final answer
    x = 386,930.00

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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.