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Finding the Fourth Proportional to 333,657.85, 500,486.64 and 133,978.17

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Solution

The fourth proportional to 333,657.85, 500,486.64 and 133,978.17 is: 200,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,657.85 : 500,486.64 = 133,978.17 : x
  2. Step 2: Convert to fraction form
    333,657.85/500,486.64 = 133,978.17/x
  3. Step 3: Cross multiply
    333,657.85x = 500,486.64 × 133,978.17
  4. Step 4: Simplify right side
    333,657.85x = 67,054,284,136.65
  5. Step 5: Solve for x
    x = 67,054,284,136.65/333,657.85
  6. Step 6: Final answer
    x = 200,967.20

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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.