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Finding the Fourth Proportional to 489,189.30, 733,820.40 and 173,605.20

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Solution

The fourth proportional to 489,189.30, 733,820.40 and 173,605.20 is: 260,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,189.30 : 733,820.40 = 173,605.20 : x
  2. Step 2: Convert to fraction form
    489,189.30/733,820.40 = 173,605.20/x
  3. Step 3: Cross multiply
    489,189.30x = 733,820.40 × 173,605.20
  4. Step 4: Simplify right side
    489,189.30x = 127,395,037,306.08
  5. Step 5: Solve for x
    x = 127,395,037,306.08/489,189.30
  6. Step 6: Final answer
    x = 260,420.74

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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.