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Finding the Fourth Proportional to 280,993.13, 421,541.67 and 88,915.91

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Solution

The fourth proportional to 280,993.13, 421,541.67 and 88,915.91 is: 133,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,993.13 : 421,541.67 = 88,915.91 : x
  2. Step 2: Convert to fraction form
    280,993.13/421,541.67 = 88,915.91/x
  3. Step 3: Cross multiply
    280,993.13x = 421,541.67 × 88,915.91
  4. Step 4: Simplify right side
    280,993.13x = 37,481,762,244.82
  5. Step 5: Solve for x
    x = 37,481,762,244.82/280,993.13
  6. Step 6: Final answer
    x = 133,390.32

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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.