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Finding the Fourth Proportional to 201,629.20, 302,443.80 and 154,973.20

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Solution

The fourth proportional to 201,629.20, 302,443.80 and 154,973.20 is: 232,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,629.20 : 302,443.80 = 154,973.20 : x
  2. Step 2: Convert to fraction form
    201,629.20/302,443.80 = 154,973.20/x
  3. Step 3: Cross multiply
    201,629.20x = 302,443.80 × 154,973.20
  4. Step 4: Simplify right side
    201,629.20x = 46,870,683,506.16
  5. Step 5: Solve for x
    x = 46,870,683,506.16/201,629.20
  6. Step 6: Final answer
    x = 232,459.80

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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.