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Finding the Fourth Proportional to 217,633.86, 300,459.72 and 145,017.60

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Solution

The fourth proportional to 217,633.86, 300,459.72 and 145,017.60 is: 200,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,633.86 : 300,459.72 = 145,017.60 : x
  2. Step 2: Convert to fraction form
    217,633.86/300,459.72 = 145,017.60/x
  3. Step 3: Cross multiply
    217,633.86x = 300,459.72 × 145,017.60
  4. Step 4: Simplify right side
    217,633.86x = 43,571,947,491.07
  5. Step 5: Solve for x
    x = 43,571,947,491.07/217,633.86
  6. Step 6: Final answer
    x = 200,207.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.