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Finding the Fourth Proportional to 201,619.40, 302,429.10 and 142,570.40

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Solution

The fourth proportional to 201,619.40, 302,429.10 and 142,570.40 is: 213,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,619.40 : 302,429.10 = 142,570.40 : x
  2. Step 2: Convert to fraction form
    201,619.40/302,429.10 = 142,570.40/x
  3. Step 3: Cross multiply
    201,619.40x = 302,429.10 × 142,570.40
  4. Step 4: Simplify right side
    201,619.40x = 43,117,437,758.64
  5. Step 5: Solve for x
    x = 43,117,437,758.64/201,619.40
  6. Step 6: Final answer
    x = 213,855.60

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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.