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Finding the Fourth Proportional to 509,732.22, 703,448.55 and 280,307.10

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Solution

The fourth proportional to 509,732.22, 703,448.55 and 280,307.10 is: 386,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,732.22 : 703,448.55 = 280,307.10 : x
  2. Step 2: Convert to fraction form
    509,732.22/703,448.55 = 280,307.10/x
  3. Step 3: Cross multiply
    509,732.22x = 703,448.55 × 280,307.10
  4. Step 4: Simplify right side
    509,732.22x = 197,181,623,049.71
  5. Step 5: Solve for x
    x = 197,181,623,049.71/509,732.22
  6. Step 6: Final answer
    x = 386,833.74

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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.