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Finding the Fourth Proportional to 329,859.83, 454,971.96 and 302,723.61

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Solution

The fourth proportional to 329,859.83, 454,971.96 and 302,723.61 is: 417,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,859.83 : 454,971.96 = 302,723.61 : x
  2. Step 2: Convert to fraction form
    329,859.83/454,971.96 = 302,723.61/x
  3. Step 3: Cross multiply
    329,859.83x = 454,971.96 × 302,723.61
  4. Step 4: Simplify right side
    329,859.83x = 137,730,754,179.98
  5. Step 5: Solve for x
    x = 137,730,754,179.98/329,859.83
  6. Step 6: Final answer
    x = 417,543.28

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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.