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Finding the Fourth Proportional to 297,866.40, 411,058.06 and 161,900.40

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Solution

The fourth proportional to 297,866.40, 411,058.06 and 161,900.40 is: 223,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,866.40 : 411,058.06 = 161,900.40 : x
  2. Step 2: Convert to fraction form
    297,866.40/411,058.06 = 161,900.40/x
  3. Step 3: Cross multiply
    297,866.40x = 411,058.06 × 161,900.40
  4. Step 4: Simplify right side
    297,866.40x = 66,550,464,337.22
  5. Step 5: Solve for x
    x = 66,550,464,337.22/297,866.40
  6. Step 6: Final answer
    x = 223,423.87

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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.