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Finding the Fourth Proportional to 290,603.10, 435,904.65 and 219,744.30

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Solution

The fourth proportional to 290,603.10, 435,904.65 and 219,744.30 is: 329,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,603.10 : 435,904.65 = 219,744.30 : x
  2. Step 2: Convert to fraction form
    290,603.10/435,904.65 = 219,744.30/x
  3. Step 3: Cross multiply
    290,603.10x = 435,904.65 × 219,744.30
  4. Step 4: Simplify right side
    290,603.10x = 95,787,562,181.00
  5. Step 5: Solve for x
    x = 95,787,562,181.00/290,603.10
  6. Step 6: Final answer
    x = 329,616.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.