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Finding the Fourth Proportional to 289,957.72, 399,881.86 and 228,741.16

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Solution

The fourth proportional to 289,957.72, 399,881.86 and 228,741.16 is: 315,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,957.72 : 399,881.86 = 228,741.16 : x
  2. Step 2: Convert to fraction form
    289,957.72/399,881.86 = 228,741.16/x
  3. Step 3: Cross multiply
    289,957.72x = 399,881.86 × 228,741.16
  4. Step 4: Simplify right side
    289,957.72x = 91,469,440,519.36
  5. Step 5: Solve for x
    x = 91,469,440,519.36/289,957.72
  6. Step 6: Final answer
    x = 315,457.86

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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.