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Finding the Fourth Proportional to 306,732, 423,299.50 and 167,039.78

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Solution

The fourth proportional to 306,732, 423,299.50 and 167,039.78 is: 230,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,732 : 423,299.50 = 167,039.78 : x
  2. Step 2: Convert to fraction form
    306,732/423,299.50 = 167,039.78/x
  3. Step 3: Cross multiply
    306,732x = 423,299.50 × 167,039.78
  4. Step 4: Simplify right side
    306,732x = 70,707,855,354.11
  5. Step 5: Solve for x
    x = 70,707,855,354.11/306,732
  6. Step 6: Final answer
    x = 230,519.98

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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.