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Finding the Fourth Proportional to 220,807, 304,714.38 and 120,205.72

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Solution

The fourth proportional to 220,807, 304,714.38 and 120,205.72 is: 165,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,807 : 304,714.38 = 120,205.72 : x
  2. Step 2: Convert to fraction form
    220,807/304,714.38 = 120,205.72/x
  3. Step 3: Cross multiply
    220,807x = 304,714.38 × 120,205.72
  4. Step 4: Simplify right side
    220,807x = 36,628,411,442.25
  5. Step 5: Solve for x
    x = 36,628,411,442.25/220,807
  6. Step 6: Final answer
    x = 165,884.29

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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.