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Finding the Fourth Proportional to 1,078,835, 1,618,330.26 and 413,987

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Solution

The fourth proportional to 1,078,835, 1,618,330.26 and 413,987 is: 621,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,835 : 1,618,330.26 = 413,987 : x
  2. Step 2: Convert to fraction form
    1,078,835/1,618,330.26 = 413,987/x
  3. Step 3: Cross multiply
    1,078,835x = 1,618,330.26 × 413,987
  4. Step 4: Simplify right side
    1,078,835x = 669,967,689,346.62
  5. Step 5: Solve for x
    x = 669,967,689,346.62/1,078,835
  6. Step 6: Final answer
    x = 621,010.34

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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.