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Finding the Fourth Proportional to 309,701.20, 464,843.40 and 191,603.20

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Solution

The fourth proportional to 309,701.20, 464,843.40 and 191,603.20 is: 287,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,701.20 : 464,843.40 = 191,603.20 : x
  2. Step 2: Convert to fraction form
    309,701.20/464,843.40 = 191,603.20/x
  3. Step 3: Cross multiply
    309,701.20x = 464,843.40 × 191,603.20
  4. Step 4: Simplify right side
    309,701.20x = 89,065,482,938.88
  5. Step 5: Solve for x
    x = 89,065,482,938.88/309,701.20
  6. Step 6: Final answer
    x = 287,585.20

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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.