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Finding the Fourth Proportional to 310,620.20, 465,930.30 and 142,140.20

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Solution

The fourth proportional to 310,620.20, 465,930.30 and 142,140.20 is: 213,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,620.20 : 465,930.30 = 142,140.20 : x
  2. Step 2: Convert to fraction form
    310,620.20/465,930.30 = 142,140.20/x
  3. Step 3: Cross multiply
    310,620.20x = 465,930.30 × 142,140.20
  4. Step 4: Simplify right side
    310,620.20x = 66,227,426,028.06
  5. Step 5: Solve for x
    x = 66,227,426,028.06/310,620.20
  6. Step 6: Final answer
    x = 213,210.30

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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.