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Finding the Fourth Proportional to 550,117.64, 825,005.57 and 265,631.31

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Solution

The fourth proportional to 550,117.64, 825,005.57 and 265,631.31 is: 398,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,117.64 : 825,005.57 = 265,631.31 : x
  2. Step 2: Convert to fraction form
    550,117.64/825,005.57 = 265,631.31/x
  3. Step 3: Cross multiply
    550,117.64x = 825,005.57 × 265,631.31
  4. Step 4: Simplify right side
    550,117.64x = 219,147,313,078.13
  5. Step 5: Solve for x
    x = 219,147,313,078.13/550,117.64
  6. Step 6: Final answer
    x = 398,364.45

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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.