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Finding the Fourth Proportional to 1,264,896, 1,897,344 and 378,432

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Solution

The fourth proportional to 1,264,896, 1,897,344 and 378,432 is: 567,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,896 : 1,897,344 = 378,432 : x
  2. Step 2: Convert to fraction form
    1,264,896/1,897,344 = 378,432/x
  3. Step 3: Cross multiply
    1,264,896x = 1,897,344 × 378,432
  4. Step 4: Simplify right side
    1,264,896x = 718,015,684,608
  5. Step 5: Solve for x
    x = 718,015,684,608/1,264,896
  6. Step 6: Final answer
    x = 567,648

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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.