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Finding the Fourth Proportional to 343,145.82, 514,787.50 and 118,514.48

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Solution

The fourth proportional to 343,145.82, 514,787.50 and 118,514.48 is: 177,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,145.82 : 514,787.50 = 118,514.48 : x
  2. Step 2: Convert to fraction form
    343,145.82/514,787.50 = 118,514.48/x
  3. Step 3: Cross multiply
    343,145.82x = 514,787.50 × 118,514.48
  4. Step 4: Simplify right side
    343,145.82x = 61,009,772,873
  5. Step 5: Solve for x
    x = 61,009,772,873/343,145.82
  6. Step 6: Final answer
    x = 177,795.47

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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.