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Finding the Fourth Proportional to 313,719.89, 432,996.30 and 186,370.88

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Solution

The fourth proportional to 313,719.89, 432,996.30 and 186,370.88 is: 257,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,719.89 : 432,996.30 = 186,370.88 : x
  2. Step 2: Convert to fraction form
    313,719.89/432,996.30 = 186,370.88/x
  3. Step 3: Cross multiply
    313,719.89x = 432,996.30 × 186,370.88
  4. Step 4: Simplify right side
    313,719.89x = 80,697,899,302.76
  5. Step 5: Solve for x
    x = 80,697,899,302.76/313,719.89
  6. Step 6: Final answer
    x = 257,229.15

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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.