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Finding the Fourth Proportional to 412,900.95, 619,202.69 and 142,955.80

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Solution

The fourth proportional to 412,900.95, 619,202.69 and 142,955.80 is: 214,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,900.95 : 619,202.69 = 142,955.80 : x
  2. Step 2: Convert to fraction form
    412,900.95/619,202.69 = 142,955.80/x
  3. Step 3: Cross multiply
    412,900.95x = 619,202.69 × 142,955.80
  4. Step 4: Simplify right side
    412,900.95x = 88,518,613,648.32
  5. Step 5: Solve for x
    x = 88,518,613,648.32/412,900.95
  6. Step 6: Final answer
    x = 214,382.20

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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.