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Finding the Fourth Proportional to 189,022.80, 284,117.40 and 185,523.60

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Solution

The fourth proportional to 189,022.80, 284,117.40 and 185,523.60 is: 278,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,022.80 : 284,117.40 = 185,523.60 : x
  2. Step 2: Convert to fraction form
    189,022.80/284,117.40 = 185,523.60/x
  3. Step 3: Cross multiply
    189,022.80x = 284,117.40 × 185,523.60
  4. Step 4: Simplify right side
    189,022.80x = 52,710,482,870.64
  5. Step 5: Solve for x
    x = 52,710,482,870.64/189,022.80
  6. Step 6: Final answer
    x = 278,857.80

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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.