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Finding the Fourth Proportional to 393,259, 589,890.70 and 97,771

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Solution

The fourth proportional to 393,259, 589,890.70 and 97,771 is: 146,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,259 : 589,890.70 = 97,771 : x
  2. Step 2: Convert to fraction form
    393,259/589,890.70 = 97,771/x
  3. Step 3: Cross multiply
    393,259x = 589,890.70 × 97,771
  4. Step 4: Simplify right side
    393,259x = 57,674,203,629.70
  5. Step 5: Solve for x
    x = 57,674,203,629.70/393,259
  6. Step 6: Final answer
    x = 146,657.05

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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.