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Finding the Fourth Proportional to 290,803.30, 401,614.51 and 259,103.35

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Solution

The fourth proportional to 290,803.30, 401,614.51 and 259,103.35 is: 357,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,803.30 : 401,614.51 = 259,103.35 : x
  2. Step 2: Convert to fraction form
    290,803.30/401,614.51 = 259,103.35/x
  3. Step 3: Cross multiply
    290,803.30x = 401,614.51 × 259,103.35
  4. Step 4: Simplify right side
    290,803.30x = 104,059,664,949.61
  5. Step 5: Solve for x
    x = 104,059,664,949.61/290,803.30
  6. Step 6: Final answer
    x = 357,835.23

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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.