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Finding the Fourth Proportional to 509,122.75, 702,589.40 and 282,789.31

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Solution

The fourth proportional to 509,122.75, 702,589.40 and 282,789.31 is: 390,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,122.75 : 702,589.40 = 282,789.31 : x
  2. Step 2: Convert to fraction form
    509,122.75/702,589.40 = 282,789.31/x
  3. Step 3: Cross multiply
    509,122.75x = 702,589.40 × 282,789.31
  4. Step 4: Simplify right side
    509,122.75x = 198,684,771,639.31
  5. Step 5: Solve for x
    x = 198,684,771,639.31/509,122.75
  6. Step 6: Final answer
    x = 390,249.25

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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.