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Finding the Fourth Proportional to 201,643.65, 302,465.48 and 154,404.45

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Solution

The fourth proportional to 201,643.65, 302,465.48 and 154,404.45 is: 231,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.65 : 302,465.48 = 154,404.45 : x
  2. Step 2: Convert to fraction form
    201,643.65/302,465.48 = 154,404.45/x
  3. Step 3: Cross multiply
    201,643.65x = 302,465.48 × 154,404.45
  4. Step 4: Simplify right side
    201,643.65x = 46,702,015,311.36
  5. Step 5: Solve for x
    x = 46,702,015,311.36/201,643.65
  6. Step 6: Final answer
    x = 231,606.68

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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.