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Finding the Fourth Proportional to 347,309.92, 521,132.64 and 302,416.48

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Solution

The fourth proportional to 347,309.92, 521,132.64 and 302,416.48 is: 453,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,309.92 : 521,132.64 = 302,416.48 : x
  2. Step 2: Convert to fraction form
    347,309.92/521,132.64 = 302,416.48/x
  3. Step 3: Cross multiply
    347,309.92x = 521,132.64 × 302,416.48
  4. Step 4: Simplify right side
    347,309.92x = 157,599,098,601.91
  5. Step 5: Solve for x
    x = 157,599,098,601.91/347,309.92
  6. Step 6: Final answer
    x = 453,770.80

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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.