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Finding the Fourth Proportional to 308,021.48, 461,762.30 and 148,017.74

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Solution

The fourth proportional to 308,021.48, 461,762.30 and 148,017.74 is: 221,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,021.48 : 461,762.30 = 148,017.74 : x
  2. Step 2: Convert to fraction form
    308,021.48/461,762.30 = 148,017.74/x
  3. Step 3: Cross multiply
    308,021.48x = 461,762.30 × 148,017.74
  4. Step 4: Simplify right side
    308,021.48x = 68,349,012,063.20
  5. Step 5: Solve for x
    x = 68,349,012,063.20/308,021.48
  6. Step 6: Final answer
    x = 221,896.90

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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.