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Finding the Fourth Proportional to 400,114.40, 598,859.40 and 310,884.80

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Solution

The fourth proportional to 400,114.40, 598,859.40 and 310,884.80 is: 465,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,114.40 : 598,859.40 = 310,884.80 : x
  2. Step 2: Convert to fraction form
    400,114.40/598,859.40 = 310,884.80/x
  3. Step 3: Cross multiply
    400,114.40x = 598,859.40 × 310,884.80
  4. Step 4: Simplify right side
    400,114.40x = 186,176,284,797.12
  5. Step 5: Solve for x
    x = 186,176,284,797.12/400,114.40
  6. Step 6: Final answer
    x = 465,307.63

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1.5x scale

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.