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Finding the Fourth Proportional to 398,681.40, 598,120.50 and 118,198.64

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Solution

The fourth proportional to 398,681.40, 598,120.50 and 118,198.64 is: 177,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,681.40 : 598,120.50 = 118,198.64 : x
  2. Step 2: Convert to fraction form
    398,681.40/598,120.50 = 118,198.64/x
  3. Step 3: Cross multiply
    398,681.40x = 598,120.50 × 118,198.64
  4. Step 4: Simplify right side
    398,681.40x = 70,697,029,656.12
  5. Step 5: Solve for x
    x = 70,697,029,656.12/398,681.40
  6. Step 6: Final answer
    x = 177,327.13

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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.