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Finding the Fourth Proportional to 507,352, 700,137.18 and 280,992.64

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Solution

The fourth proportional to 507,352, 700,137.18 and 280,992.64 is: 387,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,352 : 700,137.18 = 280,992.64 : x
  2. Step 2: Convert to fraction form
    507,352/700,137.18 = 280,992.64/x
  3. Step 3: Cross multiply
    507,352x = 700,137.18 × 280,992.64
  4. Step 4: Simplify right side
    507,352x = 196,733,394,570.36
  5. Step 5: Solve for x
    x = 196,733,394,570.36/507,352
  6. Step 6: Final answer
    x = 387,765.09

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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.