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Finding the Fourth Proportional to 1,689,143, 2,533,713.84 and 678,264.64

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Solution

The fourth proportional to 1,689,143, 2,533,713.84 and 678,264.64 is: 1,017,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,143 : 2,533,713.84 = 678,264.64 : x
  2. Step 2: Convert to fraction form
    1,689,143/2,533,713.84 = 678,264.64/x
  3. Step 3: Cross multiply
    1,689,143x = 2,533,713.84 × 678,264.64
  4. Step 4: Simplify right side
    1,689,143x = 1,718,528,505,550.62
  5. Step 5: Solve for x
    x = 1,718,528,505,550.62/1,689,143
  6. Step 6: Final answer
    x = 1,017,396.69

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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.