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Finding the Fourth Proportional to 456,095.28, 684,268.32 and 189,980.40

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Solution

The fourth proportional to 456,095.28, 684,268.32 and 189,980.40 is: 285,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,095.28 : 684,268.32 = 189,980.40 : x
  2. Step 2: Convert to fraction form
    456,095.28/684,268.32 = 189,980.40/x
  3. Step 3: Cross multiply
    456,095.28x = 684,268.32 × 189,980.40
  4. Step 4: Simplify right side
    456,095.28x = 129,997,569,140.93
  5. Step 5: Solve for x
    x = 129,997,569,140.93/456,095.28
  6. Step 6: Final answer
    x = 285,022.83

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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.