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Finding the Fourth Proportional to 217,284.41, 299,853.15 and 120,495.08

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Solution

The fourth proportional to 217,284.41, 299,853.15 and 120,495.08 is: 166,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,284.41 : 299,853.15 = 120,495.08 : x
  2. Step 2: Convert to fraction form
    217,284.41/299,853.15 = 120,495.08/x
  3. Step 3: Cross multiply
    217,284.41x = 299,853.15 × 120,495.08
  4. Step 4: Simplify right side
    217,284.41x = 36,130,829,297.50
  5. Step 5: Solve for x
    x = 36,130,829,297.50/217,284.41
  6. Step 6: Final answer
    x = 166,283.58

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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.