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Finding the Fourth Proportional to 257,818.92, 386,881.48 and 139,487.64

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Solution

The fourth proportional to 257,818.92, 386,881.48 and 139,487.64 is: 209,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,818.92 : 386,881.48 = 139,487.64 : x
  2. Step 2: Convert to fraction form
    257,818.92/386,881.48 = 139,487.64/x
  3. Step 3: Cross multiply
    257,818.92x = 386,881.48 × 139,487.64
  4. Step 4: Simplify right side
    257,818.92x = 53,965,184,604.91
  5. Step 5: Solve for x
    x = 53,965,184,604.91/257,818.92
  6. Step 6: Final answer
    x = 209,314.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.