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Finding the Fourth Proportional to 312,087.60, 468,246.60 and 101,732.40

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Solution

The fourth proportional to 312,087.60, 468,246.60 and 101,732.40 is: 152,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,087.60 : 468,246.60 = 101,732.40 : x
  2. Step 2: Convert to fraction form
    312,087.60/468,246.60 = 101,732.40/x
  3. Step 3: Cross multiply
    312,087.60x = 468,246.60 × 101,732.40
  4. Step 4: Simplify right side
    312,087.60x = 47,635,850,409.84
  5. Step 5: Solve for x
    x = 47,635,850,409.84/312,087.60
  6. Step 6: Final answer
    x = 152,636.15

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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.