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Finding the Fourth Proportional to 310,515.20, 465,772.80 and 310,515.20

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Solution

The fourth proportional to 310,515.20, 465,772.80 and 310,515.20 is: 465,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,515.20 : 465,772.80 = 310,515.20 : x
  2. Step 2: Convert to fraction form
    310,515.20/465,772.80 = 310,515.20/x
  3. Step 3: Cross multiply
    310,515.20x = 465,772.80 × 310,515.20
  4. Step 4: Simplify right side
    310,515.20x = 144,629,534,146.56
  5. Step 5: Solve for x
    x = 144,629,534,146.56/310,515.20
  6. Step 6: Final answer
    x = 465,772.80

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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.