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Finding the Fourth Proportional to 1,992,827.40, 2,989,241.10 and 1,153,019.40

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Solution

The fourth proportional to 1,992,827.40, 2,989,241.10 and 1,153,019.40 is: 1,729,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,827.40 : 2,989,241.10 = 1,153,019.40 : x
  2. Step 2: Convert to fraction form
    1,992,827.40/2,989,241.10 = 1,153,019.40/x
  3. Step 3: Cross multiply
    1,992,827.40x = 2,989,241.10 × 1,153,019.40
  4. Step 4: Simplify right side
    1,992,827.40x = 3,446,652,979,577.34
  5. Step 5: Solve for x
    x = 3,446,652,979,577.34/1,992,827.40
  6. Step 6: Final answer
    x = 1,729,529.10

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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.