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Finding the Fourth Proportional to 226,403.08, 312,124 and 180,618.08

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Solution

The fourth proportional to 226,403.08, 312,124 and 180,618.08 is: 249,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,403.08 : 312,124 = 180,618.08 : x
  2. Step 2: Convert to fraction form
    226,403.08/312,124 = 180,618.08/x
  3. Step 3: Cross multiply
    226,403.08x = 312,124 × 180,618.08
  4. Step 4: Simplify right side
    226,403.08x = 56,375,237,601.92
  5. Step 5: Solve for x
    x = 56,375,237,601.92/226,403.08
  6. Step 6: Final answer
    x = 249,003.85

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1.5x scale

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.