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Finding the Fourth Proportional to 189,965.80, 284,948.70 and 188,653.60

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Solution

The fourth proportional to 189,965.80, 284,948.70 and 188,653.60 is: 282,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,965.80 : 284,948.70 = 188,653.60 : x
  2. Step 2: Convert to fraction form
    189,965.80/284,948.70 = 188,653.60/x
  3. Step 3: Cross multiply
    189,965.80x = 284,948.70 × 188,653.60
  4. Step 4: Simplify right side
    189,965.80x = 53,756,598,070.32
  5. Step 5: Solve for x
    x = 53,756,598,070.32/189,965.80
  6. Step 6: Final answer
    x = 282,980.40

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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.