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Finding the Fourth Proportional to 706,473.45, 974,590.56 and 419,790.60

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Solution

The fourth proportional to 706,473.45, 974,590.56 and 419,790.60 is: 579,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,473.45 : 974,590.56 = 419,790.60 : x
  2. Step 2: Convert to fraction form
    706,473.45/974,590.56 = 419,790.60/x
  3. Step 3: Cross multiply
    706,473.45x = 974,590.56 × 419,790.60
  4. Step 4: Simplify right side
    706,473.45x = 409,123,955,936.74
  5. Step 5: Solve for x
    x = 409,123,955,936.74/706,473.45
  6. Step 6: Final answer
    x = 579,107.33

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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.