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Finding the Fourth Proportional to 1,178,100, 1,767,150 and 291,636

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Solution

The fourth proportional to 1,178,100, 1,767,150 and 291,636 is: 437,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,100 : 1,767,150 = 291,636 : x
  2. Step 2: Convert to fraction form
    1,178,100/1,767,150 = 291,636/x
  3. Step 3: Cross multiply
    1,178,100x = 1,767,150 × 291,636
  4. Step 4: Simplify right side
    1,178,100x = 515,364,557,400
  5. Step 5: Solve for x
    x = 515,364,557,400/1,178,100
  6. Step 6: Final answer
    x = 437,454

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.