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Finding the Fourth Proportional to 289,852.76, 399,996.45 and 160,810.79

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Solution

The fourth proportional to 289,852.76, 399,996.45 and 160,810.79 is: 221,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,852.76 : 399,996.45 = 160,810.79 : x
  2. Step 2: Convert to fraction form
    289,852.76/399,996.45 = 160,810.79/x
  3. Step 3: Cross multiply
    289,852.76x = 399,996.45 × 160,810.79
  4. Step 4: Simplify right side
    289,852.76x = 64,323,743,121.71
  5. Step 5: Solve for x
    x = 64,323,743,121.71/289,852.76
  6. Step 6: Final answer
    x = 221,918.68

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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.