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Finding the Fourth Proportional to 289,851.80, 399,533.22 and 228,497.96

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Solution

The fourth proportional to 289,851.80, 399,533.22 and 228,497.96 is: 314,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,851.80 : 399,533.22 = 228,497.96 : x
  2. Step 2: Convert to fraction form
    289,851.80/399,533.22 = 228,497.96/x
  3. Step 3: Cross multiply
    289,851.80x = 399,533.22 × 228,497.96
  4. Step 4: Simplify right side
    289,851.80x = 91,292,525,722.23
  5. Step 5: Solve for x
    x = 91,292,525,722.23/289,851.80
  6. Step 6: Final answer
    x = 314,962.77

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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.