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Finding the Fourth Proportional to 189,022.80, 285,284.40 and 189,022.80

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Solution

The fourth proportional to 189,022.80, 285,284.40 and 189,022.80 is: 285,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,022.80 : 285,284.40 = 189,022.80 : x
  2. Step 2: Convert to fraction form
    189,022.80/285,284.40 = 189,022.80/x
  3. Step 3: Cross multiply
    189,022.80x = 285,284.40 × 189,022.80
  4. Step 4: Simplify right side
    189,022.80x = 53,925,256,084.32
  5. Step 5: Solve for x
    x = 53,925,256,084.32/189,022.80
  6. Step 6: Final answer
    x = 285,284.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.