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Finding the Fourth Proportional to 289,060.20, 433,460.70 and 111,508.20

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Solution

The fourth proportional to 289,060.20, 433,460.70 and 111,508.20 is: 167,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,060.20 : 433,460.70 = 111,508.20 : x
  2. Step 2: Convert to fraction form
    289,060.20/433,460.70 = 111,508.20/x
  3. Step 3: Cross multiply
    289,060.20x = 433,460.70 × 111,508.20
  4. Step 4: Simplify right side
    289,060.20x = 48,334,422,427.74
  5. Step 5: Solve for x
    x = 48,334,422,427.74/289,060.20
  6. Step 6: Final answer
    x = 167,212.31

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1.5x scale

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.