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Finding the Fourth Proportional to 290,957.42, 401,718.94 and 214,485.32

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Solution

The fourth proportional to 290,957.42, 401,718.94 and 214,485.32 is: 296,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,957.42 : 401,718.94 = 214,485.32 : x
  2. Step 2: Convert to fraction form
    290,957.42/401,718.94 = 214,485.32/x
  3. Step 3: Cross multiply
    290,957.42x = 401,718.94 × 214,485.32
  4. Step 4: Simplify right side
    290,957.42x = 86,162,815,395.96
  5. Step 5: Solve for x
    x = 86,162,815,395.96/290,957.42
  6. Step 6: Final answer
    x = 296,135.48

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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.