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Finding the Fourth Proportional to 225,420.16, 311,080.36 and 123,452.32

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Solution

The fourth proportional to 225,420.16, 311,080.36 and 123,452.32 is: 170,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,420.16 : 311,080.36 = 123,452.32 : x
  2. Step 2: Convert to fraction form
    225,420.16/311,080.36 = 123,452.32/x
  3. Step 3: Cross multiply
    225,420.16x = 311,080.36 × 123,452.32
  4. Step 4: Simplify right side
    225,420.16x = 38,403,592,148.44
  5. Step 5: Solve for x
    x = 38,403,592,148.44/225,420.16
  6. Step 6: Final answer
    x = 170,364.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.