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Finding the Fourth Proportional to 343,071.42, 472,381.74 and 304,764.54

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Solution

The fourth proportional to 343,071.42, 472,381.74 and 304,764.54 is: 419,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,071.42 : 472,381.74 = 304,764.54 : x
  2. Step 2: Convert to fraction form
    343,071.42/472,381.74 = 304,764.54/x
  3. Step 3: Cross multiply
    343,071.42x = 472,381.74 × 304,764.54
  4. Step 4: Simplify right side
    343,071.42x = 143,965,203,695.50
  5. Step 5: Solve for x
    x = 143,965,203,695.50/343,071.42
  6. Step 6: Final answer
    x = 419,636.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.