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Finding the Fourth Proportional to 305,762.95, 422,152.71 and 198,638.29

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Solution

The fourth proportional to 305,762.95, 422,152.71 and 198,638.29 is: 274,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,762.95 : 422,152.71 = 198,638.29 : x
  2. Step 2: Convert to fraction form
    305,762.95/422,152.71 = 198,638.29/x
  3. Step 3: Cross multiply
    305,762.95x = 422,152.71 × 198,638.29
  4. Step 4: Simplify right side
    305,762.95x = 83,855,690,322.50
  5. Step 5: Solve for x
    x = 83,855,690,322.50/305,762.95
  6. Step 6: Final answer
    x = 274,250.66

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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.