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Finding the Fourth Proportional to 343,843.80, 514,599.30 and 301,853.40

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Solution

The fourth proportional to 343,843.80, 514,599.30 and 301,853.40 is: 451,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,843.80 : 514,599.30 = 301,853.40 : x
  2. Step 2: Convert to fraction form
    343,843.80/514,599.30 = 301,853.40/x
  3. Step 3: Cross multiply
    343,843.80x = 514,599.30 × 301,853.40
  4. Step 4: Simplify right side
    343,843.80x = 155,333,548,342.62
  5. Step 5: Solve for x
    x = 155,333,548,342.62/343,843.80
  6. Step 6: Final answer
    x = 451,756.14

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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.