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Finding the Fourth Proportional to 308,047.80, 462,065.22 and 141,835.80

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Solution

The fourth proportional to 308,047.80, 462,065.22 and 141,835.80 is: 212,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.80 : 462,065.22 = 141,835.80 : x
  2. Step 2: Convert to fraction form
    308,047.80/462,065.22 = 141,835.80/x
  3. Step 3: Cross multiply
    308,047.80x = 462,065.22 × 141,835.80
  4. Step 4: Simplify right side
    308,047.80x = 65,537,390,130.88
  5. Step 5: Solve for x
    x = 65,537,390,130.88/308,047.80
  6. Step 6: Final answer
    x = 212,750.72

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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.