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Finding the Fourth Proportional to 407,985, 563,072.10 and 229,137

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Solution

The fourth proportional to 407,985, 563,072.10 and 229,137 is: 316,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,985 : 563,072.10 = 229,137 : x
  2. Step 2: Convert to fraction form
    407,985/563,072.10 = 229,137/x
  3. Step 3: Cross multiply
    407,985x = 563,072.10 × 229,137
  4. Step 4: Simplify right side
    407,985x = 129,020,651,777.70
  5. Step 5: Solve for x
    x = 129,020,651,777.70/407,985
  6. Step 6: Final answer
    x = 316,238.71

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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.