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Finding the Fourth Proportional to 355,140.29, 490,254.95 and 226,255.51

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Solution

The fourth proportional to 355,140.29, 490,254.95 and 226,255.51 is: 312,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,140.29 : 490,254.95 = 226,255.51 : x
  2. Step 2: Convert to fraction form
    355,140.29/490,254.95 = 226,255.51/x
  3. Step 3: Cross multiply
    355,140.29x = 490,254.95 × 226,255.51
  4. Step 4: Simplify right side
    355,140.29x = 110,922,883,742.28
  5. Step 5: Solve for x
    x = 110,922,883,742.28/355,140.29
  6. Step 6: Final answer
    x = 312,335.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.