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Finding the Fourth Proportional to 423,978.56, 634,583.28 and 311,629.04

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Solution

The fourth proportional to 423,978.56, 634,583.28 and 311,629.04 is: 466,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,978.56 : 634,583.28 = 311,629.04 : x
  2. Step 2: Convert to fraction form
    423,978.56/634,583.28 = 311,629.04/x
  3. Step 3: Cross multiply
    423,978.56x = 634,583.28 × 311,629.04
  4. Step 4: Simplify right side
    423,978.56x = 197,754,578,346.45
  5. Step 5: Solve for x
    x = 197,754,578,346.45/423,978.56
  6. Step 6: Final answer
    x = 466,425.89

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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.