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Finding the Fourth Proportional to 290,719.64, 401,079.22 and 214,421.90

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Solution

The fourth proportional to 290,719.64, 401,079.22 and 214,421.90 is: 295,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,719.64 : 401,079.22 = 214,421.90 : x
  2. Step 2: Convert to fraction form
    290,719.64/401,079.22 = 214,421.90/x
  3. Step 3: Cross multiply
    290,719.64x = 401,079.22 × 214,421.90
  4. Step 4: Simplify right side
    290,719.64x = 86,000,168,402.92
  5. Step 5: Solve for x
    x = 86,000,168,402.92/290,719.64
  6. Step 6: Final answer
    x = 295,818.23

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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.