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Finding the Fourth Proportional to 323,776.96, 447,094.20 and 203,125.66

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Solution

The fourth proportional to 323,776.96, 447,094.20 and 203,125.66 is: 280,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,776.96 : 447,094.20 = 203,125.66 : x
  2. Step 2: Convert to fraction form
    323,776.96/447,094.20 = 203,125.66/x
  3. Step 3: Cross multiply
    323,776.96x = 447,094.20 × 203,125.66
  4. Step 4: Simplify right side
    323,776.96x = 90,816,304,457.17
  5. Step 5: Solve for x
    x = 90,816,304,457.17/323,776.96
  6. Step 6: Final answer
    x = 280,490.32

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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.