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Finding the Fourth Proportional to 280,751.40, 421,127.10 and 266,927.40

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Solution

The fourth proportional to 280,751.40, 421,127.10 and 266,927.40 is: 400,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,751.40 : 421,127.10 = 266,927.40 : x
  2. Step 2: Convert to fraction form
    280,751.40/421,127.10 = 266,927.40/x
  3. Step 3: Cross multiply
    280,751.40x = 421,127.10 × 266,927.40
  4. Step 4: Simplify right side
    280,751.40x = 112,410,361,872.54
  5. Step 5: Solve for x
    x = 112,410,361,872.54/280,751.40
  6. Step 6: Final answer
    x = 400,391.10

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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.