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Finding the Fourth Proportional to 706,145.16, 974,562 and 419,662.74

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Solution

The fourth proportional to 706,145.16, 974,562 and 419,662.74 is: 579,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,145.16 : 974,562 = 419,662.74 : x
  2. Step 2: Convert to fraction form
    706,145.16/974,562 = 419,662.74/x
  3. Step 3: Cross multiply
    706,145.16x = 974,562 × 419,662.74
  4. Step 4: Simplify right side
    706,145.16x = 408,987,359,219.88
  5. Step 5: Solve for x
    x = 408,987,359,219.88/706,145.16
  6. Step 6: Final answer
    x = 579,183.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.