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Finding the Fourth Proportional to 230,504.49, 317,977.59 and 153,999.12

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Solution

The fourth proportional to 230,504.49, 317,977.59 and 153,999.12 is: 212,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,504.49 : 317,977.59 = 153,999.12 : x
  2. Step 2: Convert to fraction form
    230,504.49/317,977.59 = 153,999.12/x
  3. Step 3: Cross multiply
    230,504.49x = 317,977.59 × 153,999.12
  4. Step 4: Simplify right side
    230,504.49x = 48,968,269,039.72
  5. Step 5: Solve for x
    x = 48,968,269,039.72/230,504.49
  6. Step 6: Final answer
    x = 212,439.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.