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Finding the Fourth Proportional to 290,668.50, 436,068.36 and 103,680

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Solution

The fourth proportional to 290,668.50, 436,068.36 and 103,680 is: 155,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,668.50 : 436,068.36 = 103,680 : x
  2. Step 2: Convert to fraction form
    290,668.50/436,068.36 = 103,680/x
  3. Step 3: Cross multiply
    290,668.50x = 436,068.36 × 103,680
  4. Step 4: Simplify right side
    290,668.50x = 45,211,567,564.80
  5. Step 5: Solve for x
    x = 45,211,567,564.80/290,668.50
  6. Step 6: Final answer
    x = 155,543.40

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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.