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Finding the Fourth Proportional to 289,668.76, 399,720.90 and 162,319.72

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Solution

The fourth proportional to 289,668.76, 399,720.90 and 162,319.72 is: 223,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,668.76 : 399,720.90 = 162,319.72 : x
  2. Step 2: Convert to fraction form
    289,668.76/399,720.90 = 162,319.72/x
  3. Step 3: Cross multiply
    289,668.76x = 399,720.90 × 162,319.72
  4. Step 4: Simplify right side
    289,668.76x = 64,882,584,566.15
  5. Step 5: Solve for x
    x = 64,882,584,566.15/289,668.76
  6. Step 6: Final answer
    x = 223,988.89

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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.