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Finding the Fourth Proportional to 398,285.16, 597,544.38 and 117,809.88

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Solution

The fourth proportional to 398,285.16, 597,544.38 and 117,809.88 is: 176,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,285.16 : 597,544.38 = 117,809.88 : x
  2. Step 2: Convert to fraction form
    398,285.16/597,544.38 = 117,809.88/x
  3. Step 3: Cross multiply
    398,285.16x = 597,544.38 × 117,809.88
  4. Step 4: Simplify right side
    398,285.16x = 70,396,631,702.47
  5. Step 5: Solve for x
    x = 70,396,631,702.47/398,285.16
  6. Step 6: Final answer
    x = 176,749.32

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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.