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Finding the Fourth Proportional to 428,428.80, 642,028.80 and 315,225.60

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Solution

The fourth proportional to 428,428.80, 642,028.80 and 315,225.60 is: 472,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,428.80 : 642,028.80 = 315,225.60 : x
  2. Step 2: Convert to fraction form
    428,428.80/642,028.80 = 315,225.60/x
  3. Step 3: Cross multiply
    428,428.80x = 642,028.80 × 315,225.60
  4. Step 4: Simplify right side
    428,428.80x = 202,383,913,697.28
  5. Step 5: Solve for x
    x = 202,383,913,697.28/428,428.80
  6. Step 6: Final answer
    x = 472,386.34

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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.