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Finding the Fourth Proportional to 1,412,931.83, 1,949,859.81 and 768,366.03

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Solution

The fourth proportional to 1,412,931.83, 1,949,859.81 and 768,366.03 is: 1,060,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,931.83 : 1,949,859.81 = 768,366.03 : x
  2. Step 2: Convert to fraction form
    1,412,931.83/1,949,859.81 = 768,366.03/x
  3. Step 3: Cross multiply
    1,412,931.83x = 1,949,859.81 × 768,366.03
  4. Step 4: Simplify right side
    1,412,931.83x = 1,498,206,041,266.25
  5. Step 5: Solve for x
    x = 1,498,206,041,266.25/1,412,931.83
  6. Step 6: Final answer
    x = 1,060,352.68

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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.