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Finding the Fourth Proportional to 1,406,004, 2,109,365.64 and 408,732

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Solution

The fourth proportional to 1,406,004, 2,109,365.64 and 408,732 is: 613,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,004 : 2,109,365.64 = 408,732 : x
  2. Step 2: Convert to fraction form
    1,406,004/2,109,365.64 = 408,732/x
  3. Step 3: Cross multiply
    1,406,004x = 2,109,365.64 × 408,732
  4. Step 4: Simplify right side
    1,406,004x = 862,165,236,768.48
  5. Step 5: Solve for x
    x = 862,165,236,768.48/1,406,004
  6. Step 6: Final answer
    x = 613,202.55

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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.