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Finding the Fourth Proportional to 230,383.79, 317,931.12 and 128,415.73

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Solution

The fourth proportional to 230,383.79, 317,931.12 and 128,415.73 is: 177,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,383.79 : 317,931.12 = 128,415.73 : x
  2. Step 2: Convert to fraction form
    230,383.79/317,931.12 = 128,415.73/x
  3. Step 3: Cross multiply
    230,383.79x = 317,931.12 × 128,415.73
  4. Step 4: Simplify right side
    230,383.79x = 40,827,356,864.52
  5. Step 5: Solve for x
    x = 40,827,356,864.52/230,383.79
  6. Step 6: Final answer
    x = 177,214.54

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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.