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Finding the Fourth Proportional to 1,178,108, 1,767,162 and 291,644

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Solution

The fourth proportional to 1,178,108, 1,767,162 and 291,644 is: 437,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,108 : 1,767,162 = 291,644 : x
  2. Step 2: Convert to fraction form
    1,178,108/1,767,162 = 291,644/x
  3. Step 3: Cross multiply
    1,178,108x = 1,767,162 × 291,644
  4. Step 4: Simplify right side
    1,178,108x = 515,382,194,328
  5. Step 5: Solve for x
    x = 515,382,194,328/1,178,108
  6. Step 6: Final answer
    x = 437,466

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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.