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Finding the Fourth Proportional to 404,235.10, 606,352.65 and 137,907.10

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Solution

The fourth proportional to 404,235.10, 606,352.65 and 137,907.10 is: 206,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,235.10 : 606,352.65 = 137,907.10 : x
  2. Step 2: Convert to fraction form
    404,235.10/606,352.65 = 137,907.10/x
  3. Step 3: Cross multiply
    404,235.10x = 606,352.65 × 137,907.10
  4. Step 4: Simplify right side
    404,235.10x = 83,620,335,538.82
  5. Step 5: Solve for x
    x = 83,620,335,538.82/404,235.10
  6. Step 6: Final answer
    x = 206,860.65

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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.