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Finding the Fourth Proportional to 1,617,649, 2,232,355.62 and 902,257

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Solution

The fourth proportional to 1,617,649, 2,232,355.62 and 902,257 is: 1,245,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,649 : 2,232,355.62 = 902,257 : x
  2. Step 2: Convert to fraction form
    1,617,649/2,232,355.62 = 902,257/x
  3. Step 3: Cross multiply
    1,617,649x = 2,232,355.62 × 902,257
  4. Step 4: Simplify right side
    1,617,649x = 2,014,158,484,634.34
  5. Step 5: Solve for x
    x = 2,014,158,484,634.34/1,617,649
  6. Step 6: Final answer
    x = 1,245,114.66

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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.