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Finding the Fourth Proportional to 286,758.90, 429,297.21 and 201,072.65

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Solution

The fourth proportional to 286,758.90, 429,297.21 and 201,072.65 is: 301,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,758.90 : 429,297.21 = 201,072.65 : x
  2. Step 2: Convert to fraction form
    286,758.90/429,297.21 = 201,072.65/x
  3. Step 3: Cross multiply
    286,758.90x = 429,297.21 × 201,072.65
  4. Step 4: Simplify right side
    286,758.90x = 86,319,925,505.82
  5. Step 5: Solve for x
    x = 86,319,925,505.82/286,758.90
  6. Step 6: Final answer
    x = 301,019.17

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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.