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Finding the Fourth Proportional to 509,801.09, 703,543.56 and 280,376.11

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Solution

The fourth proportional to 509,801.09, 703,543.56 and 280,376.11 is: 386,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,801.09 : 703,543.56 = 280,376.11 : x
  2. Step 2: Convert to fraction form
    509,801.09/703,543.56 = 280,376.11/x
  3. Step 3: Cross multiply
    509,801.09x = 703,543.56 × 280,376.11
  4. Step 4: Simplify right side
    509,801.09x = 197,256,804,809.49
  5. Step 5: Solve for x
    x = 197,256,804,809.49/509,801.09
  6. Step 6: Final answer
    x = 386,928.96

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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.