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Finding the Fourth Proportional to 312,295.98, 468,445.08 and 75,638.82

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Solution

The fourth proportional to 312,295.98, 468,445.08 and 75,638.82 is: 113,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,295.98 : 468,445.08 = 75,638.82 : x
  2. Step 2: Convert to fraction form
    312,295.98/468,445.08 = 75,638.82/x
  3. Step 3: Cross multiply
    312,295.98x = 468,445.08 × 75,638.82
  4. Step 4: Simplify right side
    312,295.98x = 35,432,633,086.01
  5. Step 5: Solve for x
    x = 35,432,633,086.01/312,295.98
  6. Step 6: Final answer
    x = 113,458.50

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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.