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Finding the Fourth Proportional to 286,651.80, 429,815.70 and 109,164.60

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Solution

The fourth proportional to 286,651.80, 429,815.70 and 109,164.60 is: 163,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,651.80 : 429,815.70 = 109,164.60 : x
  2. Step 2: Convert to fraction form
    286,651.80/429,815.70 = 109,164.60/x
  3. Step 3: Cross multiply
    286,651.80x = 429,815.70 × 109,164.60
  4. Step 4: Simplify right side
    286,651.80x = 46,920,658,964.22
  5. Step 5: Solve for x
    x = 46,920,658,964.22/286,651.80
  6. Step 6: Final answer
    x = 163,685.21

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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.