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Finding the Fourth Proportional to 314,770.90, 472,017.46 and 90,080.19

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Solution

The fourth proportional to 314,770.90, 472,017.46 and 90,080.19 is: 135,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,770.90 : 472,017.46 = 90,080.19 : x
  2. Step 2: Convert to fraction form
    314,770.90/472,017.46 = 90,080.19/x
  3. Step 3: Cross multiply
    314,770.90x = 472,017.46 × 90,080.19
  4. Step 4: Simplify right side
    314,770.90x = 42,519,422,480.12
  5. Step 5: Solve for x
    x = 42,519,422,480.12/314,770.90
  6. Step 6: Final answer
    x = 135,080.54

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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.