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Finding the Fourth Proportional to 230,249.60, 317,744.16 and 129,648.32

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Solution

The fourth proportional to 230,249.60, 317,744.16 and 129,648.32 is: 178,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,249.60 : 317,744.16 = 129,648.32 : x
  2. Step 2: Convert to fraction form
    230,249.60/317,744.16 = 129,648.32/x
  3. Step 3: Cross multiply
    230,249.60x = 317,744.16 × 129,648.32
  4. Step 4: Simplify right side
    230,249.60x = 41,194,996,533.81
  5. Step 5: Solve for x
    x = 41,194,996,533.81/230,249.60
  6. Step 6: Final answer
    x = 178,914.52

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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.