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Finding the Fourth Proportional to 398,699.12, 598,164.12 and 118,223.12

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Solution

The fourth proportional to 398,699.12, 598,164.12 and 118,223.12 is: 177,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,699.12 : 598,164.12 = 118,223.12 : x
  2. Step 2: Convert to fraction form
    398,699.12/598,164.12 = 118,223.12/x
  3. Step 3: Cross multiply
    398,699.12x = 598,164.12 × 118,223.12
  4. Step 4: Simplify right side
    398,699.12x = 70,716,828,538.45
  5. Step 5: Solve for x
    x = 70,716,828,538.45/398,699.12
  6. Step 6: Final answer
    x = 177,368.91

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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.