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Finding the Fourth Proportional to 507,734, 700,672.92 and 281,394.08

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Solution

The fourth proportional to 507,734, 700,672.92 and 281,394.08 is: 388,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,734 : 700,672.92 = 281,394.08 : x
  2. Step 2: Convert to fraction form
    507,734/700,672.92 = 281,394.08/x
  3. Step 3: Cross multiply
    507,734x = 700,672.92 × 281,394.08
  4. Step 4: Simplify right side
    507,734x = 197,165,211,704.31
  5. Step 5: Solve for x
    x = 197,165,211,704.31/507,734
  6. Step 6: Final answer
    x = 388,323.83

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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.