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Finding the Fourth Proportional to 706,137.90, 974,551.95 and 419,655.48

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Solution

The fourth proportional to 706,137.90, 974,551.95 and 419,655.48 is: 579,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,137.90 : 974,551.95 = 419,655.48 : x
  2. Step 2: Convert to fraction form
    706,137.90/974,551.95 = 419,655.48/x
  3. Step 3: Cross multiply
    706,137.90x = 974,551.95 × 419,655.48
  4. Step 4: Simplify right side
    706,137.90x = 408,976,066,362.19
  5. Step 5: Solve for x
    x = 408,976,066,362.19/706,137.90
  6. Step 6: Final answer
    x = 579,173.09

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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.