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Finding the Fourth Proportional to 201,206.80, 301,810.20 and 198,254.35

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Solution

The fourth proportional to 201,206.80, 301,810.20 and 198,254.35 is: 297,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206.80 : 301,810.20 = 198,254.35 : x
  2. Step 2: Convert to fraction form
    201,206.80/301,810.20 = 198,254.35/x
  3. Step 3: Cross multiply
    201,206.80x = 301,810.20 × 198,254.35
  4. Step 4: Simplify right side
    201,206.80x = 59,835,185,024.37
  5. Step 5: Solve for x
    x = 59,835,185,024.37/201,206.80
  6. Step 6: Final answer
    x = 297,381.53

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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.