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Finding the Fourth Proportional to 312,270.24, 468,418.32 and 90,654.24

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Solution

The fourth proportional to 312,270.24, 468,418.32 and 90,654.24 is: 135,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,270.24 : 468,418.32 = 90,654.24 : x
  2. Step 2: Convert to fraction form
    312,270.24/468,418.32 = 90,654.24/x
  3. Step 3: Cross multiply
    312,270.24x = 468,418.32 × 90,654.24
  4. Step 4: Simplify right side
    312,270.24x = 42,464,106,801.68
  5. Step 5: Solve for x
    x = 42,464,106,801.68/312,270.24
  6. Step 6: Final answer
    x = 135,985.12

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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.