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Finding the Fourth Proportional to 222,765.90, 334,148.85 and 209,643.90

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Solution

The fourth proportional to 222,765.90, 334,148.85 and 209,643.90 is: 314,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,765.90 : 334,148.85 = 209,643.90 : x
  2. Step 2: Convert to fraction form
    222,765.90/334,148.85 = 209,643.90/x
  3. Step 3: Cross multiply
    222,765.90x = 334,148.85 × 209,643.90
  4. Step 4: Simplify right side
    222,765.90x = 70,052,268,094.52
  5. Step 5: Solve for x
    x = 70,052,268,094.52/222,765.90
  6. Step 6: Final answer
    x = 314,465.85

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1.5x scale

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.