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Finding the Fourth Proportional to 1,197,000, 1,651,860 and 660,456

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Solution

The fourth proportional to 1,197,000, 1,651,860 and 660,456 is: 911,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,000 : 1,651,860 = 660,456 : x
  2. Step 2: Convert to fraction form
    1,197,000/1,651,860 = 660,456/x
  3. Step 3: Cross multiply
    1,197,000x = 1,651,860 × 660,456
  4. Step 4: Simplify right side
    1,197,000x = 1,090,980,848,160
  5. Step 5: Solve for x
    x = 1,090,980,848,160/1,197,000
  6. Step 6: Final answer
    x = 911,429.28

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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.