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Finding the Fourth Proportional to 355,728.80, 532,945.20 and 281,338.40

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Solution

The fourth proportional to 355,728.80, 532,945.20 and 281,338.40 is: 421,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,728.80 : 532,945.20 = 281,338.40 : x
  2. Step 2: Convert to fraction form
    355,728.80/532,945.20 = 281,338.40/x
  3. Step 3: Cross multiply
    355,728.80x = 532,945.20 × 281,338.40
  4. Step 4: Simplify right side
    355,728.80x = 149,937,949,855.68
  5. Step 5: Solve for x
    x = 149,937,949,855.68/355,728.80
  6. Step 6: Final answer
    x = 421,495.11

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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.