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Finding the Fourth Proportional to 208,415.46, 312,559.34 and 75,279.30

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Solution

The fourth proportional to 208,415.46, 312,559.34 and 75,279.30 is: 112,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,415.46 : 312,559.34 = 75,279.30 : x
  2. Step 2: Convert to fraction form
    208,415.46/312,559.34 = 75,279.30/x
  3. Step 3: Cross multiply
    208,415.46x = 312,559.34 × 75,279.30
  4. Step 4: Simplify right side
    208,415.46x = 23,529,248,323.66
  5. Step 5: Solve for x
    x = 23,529,248,323.66/208,415.46
  6. Step 6: Final answer
    x = 112,895.89

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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.