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Finding the Fourth Proportional to 1,984,964.94, 2,977,742.66 and 920,114.64

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Solution

The fourth proportional to 1,984,964.94, 2,977,742.66 and 920,114.64 is: 1,380,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,964.94 : 2,977,742.66 = 920,114.64 : x
  2. Step 2: Convert to fraction form
    1,984,964.94/2,977,742.66 = 920,114.64/x
  3. Step 3: Cross multiply
    1,984,964.94x = 2,977,742.66 × 920,114.64
  4. Step 4: Simplify right side
    1,984,964.94x = 2,739,864,611,017.97
  5. Step 5: Solve for x
    x = 2,739,864,611,017.97/1,984,964.94
  6. Step 6: Final answer
    x = 1,380,308.82

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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.