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Finding the Fourth Proportional to 509,732.72, 703,449.24 and 280,307.60

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Solution

The fourth proportional to 509,732.72, 703,449.24 and 280,307.60 is: 386,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,732.72 : 703,449.24 = 280,307.60 : x
  2. Step 2: Convert to fraction form
    509,732.72/703,449.24 = 280,307.60/x
  3. Step 3: Cross multiply
    509,732.72x = 703,449.24 × 280,307.60
  4. Step 4: Simplify right side
    509,732.72x = 197,182,168,186.22
  5. Step 5: Solve for x
    x = 197,182,168,186.22/509,732.72
  6. Step 6: Final answer
    x = 386,834.43

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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.