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Finding the Fourth Proportional to 1,406,007, 2,109,370.14 and 408,735

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Solution

The fourth proportional to 1,406,007, 2,109,370.14 and 408,735 is: 613,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,007 : 2,109,370.14 = 408,735 : x
  2. Step 2: Convert to fraction form
    1,406,007/2,109,370.14 = 408,735/x
  3. Step 3: Cross multiply
    1,406,007x = 2,109,370.14 × 408,735
  4. Step 4: Simplify right side
    1,406,007x = 862,173,404,172.90
  5. Step 5: Solve for x
    x = 862,173,404,172.90/1,406,007
  6. Step 6: Final answer
    x = 613,207.05

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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.