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Finding the Fourth Proportional to 1,264,898, 1,897,347 and 378,434

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Solution

The fourth proportional to 1,264,898, 1,897,347 and 378,434 is: 567,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,898 : 1,897,347 = 378,434 : x
  2. Step 2: Convert to fraction form
    1,264,898/1,897,347 = 378,434/x
  3. Step 3: Cross multiply
    1,264,898x = 1,897,347 × 378,434
  4. Step 4: Simplify right side
    1,264,898x = 718,020,614,598
  5. Step 5: Solve for x
    x = 718,020,614,598/1,264,898
  6. Step 6: Final answer
    x = 567,651

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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.