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Finding the Fourth Proportional to 290,709.08, 401,064.64 and 214,411.32

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Solution

The fourth proportional to 290,709.08, 401,064.64 and 214,411.32 is: 295,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,709.08 : 401,064.64 = 214,411.32 : x
  2. Step 2: Convert to fraction form
    290,709.08/401,064.64 = 214,411.32/x
  3. Step 3: Cross multiply
    290,709.08x = 401,064.64 × 214,411.32
  4. Step 4: Simplify right side
    290,709.08x = 85,992,798,867.72
  5. Step 5: Solve for x
    x = 85,992,798,867.72/290,709.08
  6. Step 6: Final answer
    x = 295,803.62

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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.