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Finding the Fourth Proportional to 487,103.82, 730,774.86 and 343,290.25

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Solution

The fourth proportional to 487,103.82, 730,774.86 and 343,290.25 is: 515,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,103.82 : 730,774.86 = 343,290.25 : x
  2. Step 2: Convert to fraction form
    487,103.82/730,774.86 = 343,290.25/x
  3. Step 3: Cross multiply
    487,103.82x = 730,774.86 × 343,290.25
  4. Step 4: Simplify right side
    487,103.82x = 250,867,881,829.64
  5. Step 5: Solve for x
    x = 250,867,881,829.64/487,103.82
  6. Step 6: Final answer
    x = 515,019.33

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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.