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Finding the Fourth Proportional to 309,801.04, 464,729.28 and 120,256.96

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Solution

The fourth proportional to 309,801.04, 464,729.28 and 120,256.96 is: 180,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,801.04 : 464,729.28 = 120,256.96 : x
  2. Step 2: Convert to fraction form
    309,801.04/464,729.28 = 120,256.96/x
  3. Step 3: Cross multiply
    309,801.04x = 464,729.28 × 120,256.96
  4. Step 4: Simplify right side
    309,801.04x = 55,886,930,435.79
  5. Step 5: Solve for x
    x = 55,886,930,435.79/309,801.04
  6. Step 6: Final answer
    x = 180,396.20

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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.