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Finding the Fourth Proportional to 1,264,897, 1,897,345.50 and 378,433

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Solution

The fourth proportional to 1,264,897, 1,897,345.50 and 378,433 is: 567,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,897 : 1,897,345.50 = 378,433 : x
  2. Step 2: Convert to fraction form
    1,264,897/1,897,345.50 = 378,433/x
  3. Step 3: Cross multiply
    1,264,897x = 1,897,345.50 × 378,433
  4. Step 4: Simplify right side
    1,264,897x = 718,018,149,601.50
  5. Step 5: Solve for x
    x = 718,018,149,601.50/1,264,897
  6. Step 6: Final answer
    x = 567,649.50

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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.