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Finding the Fourth Proportional to 310,383.34, 465,501.20 and 85,738.80

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Solution

The fourth proportional to 310,383.34, 465,501.20 and 85,738.80 is: 128,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,383.34 : 465,501.20 = 85,738.80 : x
  2. Step 2: Convert to fraction form
    310,383.34/465,501.20 = 85,738.80/x
  3. Step 3: Cross multiply
    310,383.34x = 465,501.20 × 85,738.80
  4. Step 4: Simplify right side
    310,383.34x = 39,911,514,286.56
  5. Step 5: Solve for x
    x = 39,911,514,286.56/310,383.34
  6. Step 6: Final answer
    x = 128,587.81

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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.