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Finding the Fourth Proportional to 310,597.25, 465,906.21 and 85,938.86

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Solution

The fourth proportional to 310,597.25, 465,906.21 and 85,938.86 is: 128,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,597.25 : 465,906.21 = 85,938.86 : x
  2. Step 2: Convert to fraction form
    310,597.25/465,906.21 = 85,938.86/x
  3. Step 3: Cross multiply
    310,597.25x = 465,906.21 × 85,938.86
  4. Step 4: Simplify right side
    310,597.25x = 40,039,448,554.32
  5. Step 5: Solve for x
    x = 40,039,448,554.32/310,597.25
  6. Step 6: Final answer
    x = 128,911.15

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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.