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Finding the Fourth Proportional to 550,783.26, 760,078.82 and 309,065.28

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Solution

The fourth proportional to 550,783.26, 760,078.82 and 309,065.28 is: 426,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,783.26 : 760,078.82 = 309,065.28 : x
  2. Step 2: Convert to fraction form
    550,783.26/760,078.82 = 309,065.28/x
  3. Step 3: Cross multiply
    550,783.26x = 760,078.82 × 309,065.28
  4. Step 4: Simplify right side
    550,783.26x = 234,913,973,325.37
  5. Step 5: Solve for x
    x = 234,913,973,325.37/550,783.26
  6. Step 6: Final answer
    x = 426,508.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.