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Finding the Fourth Proportional to 301,021.76, 415,428.72 and 166,885.76

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Solution

The fourth proportional to 301,021.76, 415,428.72 and 166,885.76 is: 230,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,021.76 : 415,428.72 = 166,885.76 : x
  2. Step 2: Convert to fraction form
    301,021.76/415,428.72 = 166,885.76/x
  3. Step 3: Cross multiply
    301,021.76x = 415,428.72 × 166,885.76
  4. Step 4: Simplify right side
    301,021.76x = 69,329,137,663.03
  5. Step 5: Solve for x
    x = 69,329,137,663.03/301,021.76
  6. Step 6: Final answer
    x = 230,312.71

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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.