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Finding the Fourth Proportional to 347,134.37, 478,908.47 and 217,996.88

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Solution

The fourth proportional to 347,134.37, 478,908.47 and 217,996.88 is: 300,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,134.37 : 478,908.47 = 217,996.88 : x
  2. Step 2: Convert to fraction form
    347,134.37/478,908.47 = 217,996.88/x
  3. Step 3: Cross multiply
    347,134.37x = 478,908.47 × 217,996.88
  4. Step 4: Simplify right side
    347,134.37x = 104,400,550,416.02
  5. Step 5: Solve for x
    x = 104,400,550,416.02/347,134.37
  6. Step 6: Final answer
    x = 300,749.68

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1.5x scale

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.