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Finding the Fourth Proportional to 300,354.84, 414,527.40 and 197,075.88

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Solution

The fourth proportional to 300,354.84, 414,527.40 and 197,075.88 is: 271,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,354.84 : 414,527.40 = 197,075.88 : x
  2. Step 2: Convert to fraction form
    300,354.84/414,527.40 = 197,075.88/x
  3. Step 3: Cross multiply
    300,354.84x = 414,527.40 × 197,075.88
  4. Step 4: Simplify right side
    300,354.84x = 81,693,352,139.11
  5. Step 5: Solve for x
    x = 81,693,352,139.11/300,354.84
  6. Step 6: Final answer
    x = 271,989.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.