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Finding the Fourth Proportional to 257,984.32, 356,002.48 and 143,255.99

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Solution

The fourth proportional to 257,984.32, 356,002.48 and 143,255.99 is: 197,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,984.32 : 356,002.48 = 143,255.99 : x
  2. Step 2: Convert to fraction form
    257,984.32/356,002.48 = 143,255.99/x
  3. Step 3: Cross multiply
    257,984.32x = 356,002.48 × 143,255.99
  4. Step 4: Simplify right side
    257,984.32x = 50,999,487,714.86
  5. Step 5: Solve for x
    x = 50,999,487,714.86/257,984.32
  6. Step 6: Final answer
    x = 197,684.45

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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.