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Finding the Fourth Proportional to 201,583.40, 302,115.90 and 154,603.40

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Solution

The fourth proportional to 201,583.40, 302,115.90 and 154,603.40 is: 231,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,583.40 : 302,115.90 = 154,603.40 : x
  2. Step 2: Convert to fraction form
    201,583.40/302,115.90 = 154,603.40/x
  3. Step 3: Cross multiply
    201,583.40x = 302,115.90 × 154,603.40
  4. Step 4: Simplify right side
    201,583.40x = 46,708,145,334.06
  5. Step 5: Solve for x
    x = 46,708,145,334.06/201,583.40
  6. Step 6: Final answer
    x = 231,706.31

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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.