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Finding the Fourth Proportional to 310,641.54, 465,353.35 and 160,980

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Solution

The fourth proportional to 310,641.54, 465,353.35 and 160,980 is: 241,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,641.54 : 465,353.35 = 160,980 : x
  2. Step 2: Convert to fraction form
    310,641.54/465,353.35 = 160,980/x
  3. Step 3: Cross multiply
    310,641.54x = 465,353.35 × 160,980
  4. Step 4: Simplify right side
    310,641.54x = 74,912,581,880.55
  5. Step 5: Solve for x
    x = 74,912,581,880.55/310,641.54
  6. Step 6: Final answer
    x = 241,154.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.