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Finding the Fourth Proportional to 1,194,400, 1,648,272 and 657,856

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Solution

The fourth proportional to 1,194,400, 1,648,272 and 657,856 is: 907,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,400 : 1,648,272 = 657,856 : x
  2. Step 2: Convert to fraction form
    1,194,400/1,648,272 = 657,856/x
  3. Step 3: Cross multiply
    1,194,400x = 1,648,272 × 657,856
  4. Step 4: Simplify right side
    1,194,400x = 1,084,325,624,832
  5. Step 5: Solve for x
    x = 1,084,325,624,832/1,194,400
  6. Step 6: Final answer
    x = 907,841.28

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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.