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Finding the Fourth Proportional to 200,638.90, 276,916.86 and 152,400.50

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Solution

The fourth proportional to 200,638.90, 276,916.86 and 152,400.50 is: 210,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,638.90 : 276,916.86 = 152,400.50 : x
  2. Step 2: Convert to fraction form
    200,638.90/276,916.86 = 152,400.50/x
  3. Step 3: Cross multiply
    200,638.90x = 276,916.86 × 152,400.50
  4. Step 4: Simplify right side
    200,638.90x = 42,202,267,922.43
  5. Step 5: Solve for x
    x = 42,202,267,922.43/200,638.90
  6. Step 6: Final answer
    x = 210,339.41

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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.