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Finding the Fourth Proportional to 298,075.90, 447,019 and 98,359.06

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Solution

The fourth proportional to 298,075.90, 447,019 and 98,359.06 is: 147,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,075.90 : 447,019 = 98,359.06 : x
  2. Step 2: Convert to fraction form
    298,075.90/447,019 = 98,359.06/x
  3. Step 3: Cross multiply
    298,075.90x = 447,019 × 98,359.06
  4. Step 4: Simplify right side
    298,075.90x = 43,968,368,642.14
  5. Step 5: Solve for x
    x = 43,968,368,642.14/298,075.90
  6. Step 6: Final answer
    x = 147,507.29

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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.