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Finding the Fourth Proportional to 313,981.86, 433,298.04 and 170,745

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Solution

The fourth proportional to 313,981.86, 433,298.04 and 170,745 is: 235,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,981.86 : 433,298.04 = 170,745 : x
  2. Step 2: Convert to fraction form
    313,981.86/433,298.04 = 170,745/x
  3. Step 3: Cross multiply
    313,981.86x = 433,298.04 × 170,745
  4. Step 4: Simplify right side
    313,981.86x = 73,983,473,839.80
  5. Step 5: Solve for x
    x = 73,983,473,839.80/313,981.86
  6. Step 6: Final answer
    x = 235,629.77

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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.