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Finding the Fourth Proportional to 507,138.93, 699,873.60 and 280,784.43

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Solution

The fourth proportional to 507,138.93, 699,873.60 and 280,784.43 is: 387,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,138.93 : 699,873.60 = 280,784.43 : x
  2. Step 2: Convert to fraction form
    507,138.93/699,873.60 = 280,784.43/x
  3. Step 3: Cross multiply
    507,138.93x = 699,873.60 × 280,784.43
  4. Step 4: Simplify right side
    507,138.93x = 196,513,609,848.05
  5. Step 5: Solve for x
    x = 196,513,609,848.05/507,138.93
  6. Step 6: Final answer
    x = 387,494.63

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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.