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Finding the Fourth Proportional to 307,396, 424,206.48 and 166,084

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Solution

The fourth proportional to 307,396, 424,206.48 and 166,084 is: 229,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396 : 424,206.48 = 166,084 : x
  2. Step 2: Convert to fraction form
    307,396/424,206.48 = 166,084/x
  3. Step 3: Cross multiply
    307,396x = 424,206.48 × 166,084
  4. Step 4: Simplify right side
    307,396x = 70,453,909,024.32
  5. Step 5: Solve for x
    x = 70,453,909,024.32/307,396
  6. Step 6: Final answer
    x = 229,195.92

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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.