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Finding the Fourth Proportional to 208,853.20, 312,934.20 and 177,749.20

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Solution

The fourth proportional to 208,853.20, 312,934.20 and 177,749.20 is: 266,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853.20 : 312,934.20 = 177,749.20 : x
  2. Step 2: Convert to fraction form
    208,853.20/312,934.20 = 177,749.20/x
  3. Step 3: Cross multiply
    208,853.20x = 312,934.20 × 177,749.20
  4. Step 4: Simplify right side
    208,853.20x = 55,623,803,702.64
  5. Step 5: Solve for x
    x = 55,623,803,702.64/208,853.20
  6. Step 6: Final answer
    x = 266,329.67

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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.