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Finding the Fourth Proportional to 1,539,000.15, 2,158,143.15 and 1,539,000.15

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Solution

The fourth proportional to 1,539,000.15, 2,158,143.15 and 1,539,000.15 is: 2,158,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,000.15 : 2,158,143.15 = 1,539,000.15 : x
  2. Step 2: Convert to fraction form
    1,539,000.15/2,158,143.15 = 1,539,000.15/x
  3. Step 3: Cross multiply
    1,539,000.15x = 2,158,143.15 × 1,539,000.15
  4. Step 4: Simplify right side
    1,539,000.15x = 3,321,382,631,571.47
  5. Step 5: Solve for x
    x = 3,321,382,631,571.47/1,539,000.15
  6. Step 6: Final answer
    x = 2,158,143.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.