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Finding the Fourth Proportional to 290,633.40, 436,295.70 and 164,374.20

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Solution

The fourth proportional to 290,633.40, 436,295.70 and 164,374.20 is: 246,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,633.40 : 436,295.70 = 164,374.20 : x
  2. Step 2: Convert to fraction form
    290,633.40/436,295.70 = 164,374.20/x
  3. Step 3: Cross multiply
    290,633.40x = 436,295.70 × 164,374.20
  4. Step 4: Simplify right side
    290,633.40x = 71,715,756,650.94
  5. Step 5: Solve for x
    x = 71,715,756,650.94/290,633.40
  6. Step 6: Final answer
    x = 246,756.76

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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.