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Finding the Fourth Proportional to 310,433.22, 428,058.81 and 209,656.26

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Solution

The fourth proportional to 310,433.22, 428,058.81 and 209,656.26 is: 289,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,433.22 : 428,058.81 = 209,656.26 : x
  2. Step 2: Convert to fraction form
    310,433.22/428,058.81 = 209,656.26/x
  3. Step 3: Cross multiply
    310,433.22x = 428,058.81 × 209,656.26
  4. Step 4: Simplify right side
    310,433.22x = 89,745,209,164.65
  5. Step 5: Solve for x
    x = 89,745,209,164.65/310,433.22
  6. Step 6: Final answer
    x = 289,096.67

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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.