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Finding the Fourth Proportional to 705,711, 973,881.18 and 387,759

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Solution

The fourth proportional to 705,711, 973,881.18 and 387,759 is: 535,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,711 : 973,881.18 = 387,759 : x
  2. Step 2: Convert to fraction form
    705,711/973,881.18 = 387,759/x
  3. Step 3: Cross multiply
    705,711x = 973,881.18 × 387,759
  4. Step 4: Simplify right side
    705,711x = 377,631,192,475.62
  5. Step 5: Solve for x
    x = 377,631,192,475.62/705,711
  6. Step 6: Final answer
    x = 535,107.42

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1.5x scale

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.