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Finding the Fourth Proportional to 1,410,929.82, 1,947,097.44 and 766,362.60

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Solution

The fourth proportional to 1,410,929.82, 1,947,097.44 and 766,362.60 is: 1,057,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,929.82 : 1,947,097.44 = 766,362.60 : x
  2. Step 2: Convert to fraction form
    1,410,929.82/1,947,097.44 = 766,362.60/x
  3. Step 3: Cross multiply
    1,410,929.82x = 1,947,097.44 × 766,362.60
  4. Step 4: Simplify right side
    1,410,929.82x = 1,492,182,656,571.74
  5. Step 5: Solve for x
    x = 1,492,182,656,571.74/1,410,929.82
  6. Step 6: Final answer
    x = 1,057,588.15

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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.