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Finding the Fourth Proportional to 303,954.40, 456,061.20 and 146,101.60

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Solution

The fourth proportional to 303,954.40, 456,061.20 and 146,101.60 is: 219,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,954.40 : 456,061.20 = 146,101.60 : x
  2. Step 2: Convert to fraction form
    303,954.40/456,061.20 = 146,101.60/x
  3. Step 3: Cross multiply
    303,954.40x = 456,061.20 × 146,101.60
  4. Step 4: Simplify right side
    303,954.40x = 66,631,271,017.92
  5. Step 5: Solve for x
    x = 66,631,271,017.92/303,954.40
  6. Step 6: Final answer
    x = 219,214.69

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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.