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Finding the Fourth Proportional to 1,410,922.32, 1,947,087.09 and 766,355.10

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Solution

The fourth proportional to 1,410,922.32, 1,947,087.09 and 766,355.10 is: 1,057,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,922.32 : 1,947,087.09 = 766,355.10 : x
  2. Step 2: Convert to fraction form
    1,410,922.32/1,947,087.09 = 766,355.10/x
  3. Step 3: Cross multiply
    1,410,922.32x = 1,947,087.09 × 766,355.10
  4. Step 4: Simplify right side
    1,410,922.32x = 1,492,160,121,565.66
  5. Step 5: Solve for x
    x = 1,492,160,121,565.66/1,410,922.32
  6. Step 6: Final answer
    x = 1,057,577.80

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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.