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Finding the Fourth Proportional to 1,178,112, 1,767,168 and 291,648

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Solution

The fourth proportional to 1,178,112, 1,767,168 and 291,648 is: 437,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,112 : 1,767,168 = 291,648 : x
  2. Step 2: Convert to fraction form
    1,178,112/1,767,168 = 291,648/x
  3. Step 3: Cross multiply
    1,178,112x = 1,767,168 × 291,648
  4. Step 4: Simplify right side
    1,178,112x = 515,391,012,864
  5. Step 5: Solve for x
    x = 515,391,012,864/1,178,112
  6. Step 6: Final answer
    x = 437,472

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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.