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Finding the Fourth Proportional to 290,647.30, 401,289.03 and 259,925.08

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Solution

The fourth proportional to 290,647.30, 401,289.03 and 259,925.08 is: 358,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,647.30 : 401,289.03 = 259,925.08 : x
  2. Step 2: Convert to fraction form
    290,647.30/401,289.03 = 259,925.08/x
  3. Step 3: Cross multiply
    290,647.30x = 401,289.03 × 259,925.08
  4. Step 4: Simplify right side
    290,647.30x = 104,305,083,225.87
  5. Step 5: Solve for x
    x = 104,305,083,225.87/290,647.30
  6. Step 6: Final answer
    x = 358,871.67

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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.