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Finding the Fourth Proportional to 312,201, 468,262 and 98,970.97

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Solution

The fourth proportional to 312,201, 468,262 and 98,970.97 is: 148,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,201 : 468,262 = 98,970.97 : x
  2. Step 2: Convert to fraction form
    312,201/468,262 = 98,970.97/x
  3. Step 3: Cross multiply
    312,201x = 468,262 × 98,970.97
  4. Step 4: Simplify right side
    312,201x = 46,344,344,354.14
  5. Step 5: Solve for x
    x = 46,344,344,354.14/312,201
  6. Step 6: Final answer
    x = 148,443.93

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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.