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Finding the Fourth Proportional to 301,239, 415,709.82 and 167,128.92

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Solution

The fourth proportional to 301,239, 415,709.82 and 167,128.92 is: 230,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,239 : 415,709.82 = 167,128.92 : x
  2. Step 2: Convert to fraction form
    301,239/415,709.82 = 167,128.92/x
  3. Step 3: Cross multiply
    301,239x = 415,709.82 × 167,128.92
  4. Step 4: Simplify right side
    301,239x = 69,477,133,249.99
  5. Step 5: Solve for x
    x = 69,477,133,249.99/301,239
  6. Step 6: Final answer
    x = 230,637.91

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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.