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Finding the Fourth Proportional to 280,640.91, 421,127.48 and 103,272.51

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Solution

The fourth proportional to 280,640.91, 421,127.48 and 103,272.51 is: 154,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,640.91 : 421,127.48 = 103,272.51 : x
  2. Step 2: Convert to fraction form
    280,640.91/421,127.48 = 103,272.51/x
  3. Step 3: Cross multiply
    280,640.91x = 421,127.48 × 103,272.51
  4. Step 4: Simplify right side
    280,640.91x = 43,490,889,267.57
  5. Step 5: Solve for x
    x = 43,490,889,267.57/280,640.91
  6. Step 6: Final answer
    x = 154,969.89

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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.