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Finding the Fourth Proportional to 509,557.04, 703,197.66 and 280,124.00

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Solution

The fourth proportional to 509,557.04, 703,197.66 and 280,124.00 is: 386,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,557.04 : 703,197.66 = 280,124.00 : x
  2. Step 2: Convert to fraction form
    509,557.04/703,197.66 = 280,124.00/x
  3. Step 3: Cross multiply
    509,557.04x = 703,197.66 × 280,124.00
  4. Step 4: Simplify right side
    509,557.04x = 196,982,540,781.00
  5. Step 5: Solve for x
    x = 196,982,540,781.00/509,557.04
  6. Step 6: Final answer
    x = 386,576.03

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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.