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Finding the Fourth Proportional to 310,380.34, 465,496.70 and 85,735.80

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Solution

The fourth proportional to 310,380.34, 465,496.70 and 85,735.80 is: 128,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,380.34 : 465,496.70 = 85,735.80 : x
  2. Step 2: Convert to fraction form
    310,380.34/465,496.70 = 85,735.80/x
  3. Step 3: Cross multiply
    310,380.34x = 465,496.70 × 85,735.80
  4. Step 4: Simplify right side
    310,380.34x = 39,909,731,971.86
  5. Step 5: Solve for x
    x = 39,909,731,971.86/310,380.34
  6. Step 6: Final answer
    x = 128,583.31

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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.