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Finding the Fourth Proportional to 1,409,959.34, 1,938,262.16 and 1,213,006.32

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Solution

The fourth proportional to 1,409,959.34, 1,938,262.16 and 1,213,006.32 is: 1,667,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,959.34 : 1,938,262.16 = 1,213,006.32 : x
  2. Step 2: Convert to fraction form
    1,409,959.34/1,938,262.16 = 1,213,006.32/x
  3. Step 3: Cross multiply
    1,409,959.34x = 1,938,262.16 × 1,213,006.32
  4. Step 4: Simplify right side
    1,409,959.34x = 2,351,124,249,896.85
  5. Step 5: Solve for x
    x = 2,351,124,249,896.85/1,409,959.34
  6. Step 6: Final answer
    x = 1,667,512.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.