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Finding the Fourth Proportional to 312,878.25, 469,331.96 and 91,262.25

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Solution

The fourth proportional to 312,878.25, 469,331.96 and 91,262.25 is: 136,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,878.25 : 469,331.96 = 91,262.25 : x
  2. Step 2: Convert to fraction form
    312,878.25/469,331.96 = 91,262.25/x
  3. Step 3: Cross multiply
    312,878.25x = 469,331.96 × 91,262.25
  4. Step 4: Simplify right side
    312,878.25x = 42,832,290,210.20
  5. Step 5: Solve for x
    x = 42,832,290,210.20/312,878.25
  6. Step 6: Final answer
    x = 136,897.63

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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.