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Finding the Fourth Proportional to 289,802.27, 434,698.21 and 118,986.89

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Solution

The fourth proportional to 289,802.27, 434,698.21 and 118,986.89 is: 178,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,802.27 : 434,698.21 = 118,986.89 : x
  2. Step 2: Convert to fraction form
    289,802.27/434,698.21 = 118,986.89/x
  3. Step 3: Cross multiply
    289,802.27x = 434,698.21 × 118,986.89
  4. Step 4: Simplify right side
    289,802.27x = 51,723,387,553.09
  5. Step 5: Solve for x
    x = 51,723,387,553.09/289,802.27
  6. Step 6: Final answer
    x = 178,478.20

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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.