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Finding the Fourth Proportional to 257,842.49, 386,762.82 and 80,349.62

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Solution

The fourth proportional to 257,842.49, 386,762.82 and 80,349.62 is: 120,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,842.49 : 386,762.82 = 80,349.62 : x
  2. Step 2: Convert to fraction form
    257,842.49/386,762.82 = 80,349.62/x
  3. Step 3: Cross multiply
    257,842.49x = 386,762.82 × 80,349.62
  4. Step 4: Simplify right side
    257,842.49x = 31,076,244,650.22
  5. Step 5: Solve for x
    x = 31,076,244,650.22/257,842.49
  6. Step 6: Final answer
    x = 120,524.14

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1.5x scale

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.