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Finding the Fourth Proportional to 201,774.20, 302,661.30 and 180,001.40

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Solution

The fourth proportional to 201,774.20, 302,661.30 and 180,001.40 is: 270,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,774.20 : 302,661.30 = 180,001.40 : x
  2. Step 2: Convert to fraction form
    201,774.20/302,661.30 = 180,001.40/x
  3. Step 3: Cross multiply
    201,774.20x = 302,661.30 × 180,001.40
  4. Step 4: Simplify right side
    201,774.20x = 54,479,457,725.82
  5. Step 5: Solve for x
    x = 54,479,457,725.82/201,774.20
  6. Step 6: Final answer
    x = 270,002.10

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1.5x scale

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.