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Finding the Fourth Proportional to 486,015.10, 678,846.50 and 486,015.10

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Solution

The fourth proportional to 486,015.10, 678,846.50 and 486,015.10 is: 678,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,015.10 : 678,846.50 = 486,015.10 : x
  2. Step 2: Convert to fraction form
    486,015.10/678,846.50 = 486,015.10/x
  3. Step 3: Cross multiply
    486,015.10x = 678,846.50 × 486,015.10
  4. Step 4: Simplify right side
    486,015.10x = 329,929,649,582.15
  5. Step 5: Solve for x
    x = 329,929,649,582.15/486,015.10
  6. Step 6: Final answer
    x = 678,846.50

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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.