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Finding the Fourth Proportional to 298,075.40, 447,018.26 and 98,358.56

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Solution

The fourth proportional to 298,075.40, 447,018.26 and 98,358.56 is: 147,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,075.40 : 447,018.26 = 98,358.56 : x
  2. Step 2: Convert to fraction form
    298,075.40/447,018.26 = 98,358.56/x
  3. Step 3: Cross multiply
    298,075.40x = 447,018.26 × 98,358.56
  4. Step 4: Simplify right side
    298,075.40x = 43,968,069,620.42
  5. Step 5: Solve for x
    x = 43,968,069,620.42/298,075.40
  6. Step 6: Final answer
    x = 147,506.54

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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.