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Finding the Fourth Proportional to 309,938.54, 465,157.72 and 160,221.53

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Solution

The fourth proportional to 309,938.54, 465,157.72 and 160,221.53 is: 240,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,938.54 : 465,157.72 = 160,221.53 : x
  2. Step 2: Convert to fraction form
    309,938.54/465,157.72 = 160,221.53/x
  3. Step 3: Cross multiply
    309,938.54x = 465,157.72 × 160,221.53
  4. Step 4: Simplify right side
    309,938.54x = 74,528,281,589.71
  5. Step 5: Solve for x
    x = 74,528,281,589.71/309,938.54
  6. Step 6: Final answer
    x = 240,461.49

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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.