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Finding the Fourth Proportional to 343,346.40, 514,873.80 and 165,907.80

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Solution

The fourth proportional to 343,346.40, 514,873.80 and 165,907.80 is: 248,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,346.40 : 514,873.80 = 165,907.80 : x
  2. Step 2: Convert to fraction form
    343,346.40/514,873.80 = 165,907.80/x
  3. Step 3: Cross multiply
    343,346.40x = 514,873.80 × 165,907.80
  4. Step 4: Simplify right side
    343,346.40x = 85,421,579,435.64
  5. Step 5: Solve for x
    x = 85,421,579,435.64/343,346.40
  6. Step 6: Final answer
    x = 248,791.25

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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.