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Finding the Fourth Proportional to 312,085.60, 468,243.60 and 101,730.40

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Solution

The fourth proportional to 312,085.60, 468,243.60 and 101,730.40 is: 152,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,085.60 : 468,243.60 = 101,730.40 : x
  2. Step 2: Convert to fraction form
    312,085.60/468,243.60 = 101,730.40/x
  3. Step 3: Cross multiply
    312,085.60x = 468,243.60 × 101,730.40
  4. Step 4: Simplify right side
    312,085.60x = 47,634,608,725.44
  5. Step 5: Solve for x
    x = 47,634,608,725.44/312,085.60
  6. Step 6: Final answer
    x = 152,633.15

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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.