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Finding the Fourth Proportional to 509,693.32, 703,394.82 and 280,268.02

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Solution

The fourth proportional to 509,693.32, 703,394.82 and 280,268.02 is: 386,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,693.32 : 703,394.82 = 280,268.02 : x
  2. Step 2: Convert to fraction form
    509,693.32/703,394.82 = 280,268.02/x
  3. Step 3: Cross multiply
    509,693.32x = 703,394.82 × 280,268.02
  4. Step 4: Simplify right side
    509,693.32x = 197,139,073,479.66
  5. Step 5: Solve for x
    x = 197,139,073,479.66/509,693.32
  6. Step 6: Final answer
    x = 386,779.79

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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.