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Finding the Fourth Proportional to 290,603.60, 435,905.40 and 219,744.80

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Solution

The fourth proportional to 290,603.60, 435,905.40 and 219,744.80 is: 329,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,603.60 : 435,905.40 = 219,744.80 : x
  2. Step 2: Convert to fraction form
    290,603.60/435,905.40 = 219,744.80/x
  3. Step 3: Cross multiply
    290,603.60x = 435,905.40 × 219,744.80
  4. Step 4: Simplify right side
    290,603.60x = 95,787,944,941.92
  5. Step 5: Solve for x
    x = 95,787,944,941.92/290,603.60
  6. Step 6: Final answer
    x = 329,617.20

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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.