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Finding the Fourth Proportional to 295,765.56, 407,678.30 and 231,122.45

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Solution

The fourth proportional to 295,765.56, 407,678.30 and 231,122.45 is: 318,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,765.56 : 407,678.30 = 231,122.45 : x
  2. Step 2: Convert to fraction form
    295,765.56/407,678.30 = 231,122.45/x
  3. Step 3: Cross multiply
    295,765.56x = 407,678.30 × 231,122.45
  4. Step 4: Simplify right side
    295,765.56x = 94,223,608,238.13
  5. Step 5: Solve for x
    x = 94,223,608,238.13/295,765.56
  6. Step 6: Final answer
    x = 318,575.32

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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.