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Finding the Fourth Proportional to 487,418.96, 731,346.36 and 309,878.48

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Solution

The fourth proportional to 487,418.96, 731,346.36 and 309,878.48 is: 464,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,418.96 : 731,346.36 = 309,878.48 : x
  2. Step 2: Convert to fraction form
    487,418.96/731,346.36 = 309,878.48/x
  3. Step 3: Cross multiply
    487,418.96x = 731,346.36 × 309,878.48
  4. Step 4: Simplify right side
    487,418.96x = 226,628,498,390.33
  5. Step 5: Solve for x
    x = 226,628,498,390.33/487,418.96
  6. Step 6: Final answer
    x = 464,956.26

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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.