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Finding the Fourth Proportional to 281,223.69, 421,868.41 and 98,798.50

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Solution

The fourth proportional to 281,223.69, 421,868.41 and 98,798.50 is: 148,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,223.69 : 421,868.41 = 98,798.50 : x
  2. Step 2: Convert to fraction form
    281,223.69/421,868.41 = 98,798.50/x
  3. Step 3: Cross multiply
    281,223.69x = 421,868.41 × 98,798.50
  4. Step 4: Simplify right side
    281,223.69x = 41,679,966,105.39
  5. Step 5: Solve for x
    x = 41,679,966,105.39/281,223.69
  6. Step 6: Final answer
    x = 148,209.30

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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.