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Finding the Fourth Proportional to 285,981.40, 428,972.10 and 254,488.60

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Solution

The fourth proportional to 285,981.40, 428,972.10 and 254,488.60 is: 381,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,981.40 : 428,972.10 = 254,488.60 : x
  2. Step 2: Convert to fraction form
    285,981.40/428,972.10 = 254,488.60/x
  3. Step 3: Cross multiply
    285,981.40x = 428,972.10 × 254,488.60
  4. Step 4: Simplify right side
    285,981.40x = 109,168,509,168.06
  5. Step 5: Solve for x
    x = 109,168,509,168.06/285,981.40
  6. Step 6: Final answer
    x = 381,732.90

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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.