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Finding the Fourth Proportional to 398,015.16, 597,027.29 and 170,279.81

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Solution

The fourth proportional to 398,015.16, 597,027.29 and 170,279.81 is: 255,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,015.16 : 597,027.29 = 170,279.81 : x
  2. Step 2: Convert to fraction form
    398,015.16/597,027.29 = 170,279.81/x
  3. Step 3: Cross multiply
    398,015.16x = 597,027.29 × 170,279.81
  4. Step 4: Simplify right side
    398,015.16x = 101,661,693,506.02
  5. Step 5: Solve for x
    x = 101,661,693,506.02/398,015.16
  6. Step 6: Final answer
    x = 255,421.66

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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.