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Finding the Fourth Proportional to 605,178.40, 907,767.60 and 161,946.40

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Solution

The fourth proportional to 605,178.40, 907,767.60 and 161,946.40 is: 242,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,178.40 : 907,767.60 = 161,946.40 : x
  2. Step 2: Convert to fraction form
    605,178.40/907,767.60 = 161,946.40/x
  3. Step 3: Cross multiply
    605,178.40x = 907,767.60 × 161,946.40
  4. Step 4: Simplify right side
    605,178.40x = 147,009,694,856.64
  5. Step 5: Solve for x
    x = 147,009,694,856.64/605,178.40
  6. Step 6: Final answer
    x = 242,919.60

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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.