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Finding the Fourth Proportional to 456,441.60, 684,724.69 and 190,139.84

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Solution

The fourth proportional to 456,441.60, 684,724.69 and 190,139.84 is: 285,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,441.60 : 684,724.69 = 190,139.84 : x
  2. Step 2: Convert to fraction form
    456,441.60/684,724.69 = 190,139.84/x
  3. Step 3: Cross multiply
    456,441.60x = 684,724.69 × 190,139.84
  4. Step 4: Simplify right side
    456,441.60x = 130,193,439,577.03
  5. Step 5: Solve for x
    x = 130,193,439,577.03/456,441.60
  6. Step 6: Final answer
    x = 285,235.70

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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.