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Finding the Fourth Proportional to 280,656.96, 421,300.95 and 112,296.09

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Solution

The fourth proportional to 280,656.96, 421,300.95 and 112,296.09 is: 168,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,656.96 : 421,300.95 = 112,296.09 : x
  2. Step 2: Convert to fraction form
    280,656.96/421,300.95 = 112,296.09/x
  3. Step 3: Cross multiply
    280,656.96x = 421,300.95 × 112,296.09
  4. Step 4: Simplify right side
    280,656.96x = 47,310,449,398.29
  5. Step 5: Solve for x
    x = 47,310,449,398.29/280,656.96
  6. Step 6: Final answer
    x = 168,570.38

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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.