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Finding the Fourth Proportional to 428,415.80, 642,009.30 and 315,212.60

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Solution

The fourth proportional to 428,415.80, 642,009.30 and 315,212.60 is: 472,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,415.80 : 642,009.30 = 315,212.60 : x
  2. Step 2: Convert to fraction form
    428,415.80/642,009.30 = 315,212.60/x
  3. Step 3: Cross multiply
    428,415.80x = 642,009.30 × 315,212.60
  4. Step 4: Simplify right side
    428,415.80x = 202,369,420,677.18
  5. Step 5: Solve for x
    x = 202,369,420,677.18/428,415.80
  6. Step 6: Final answer
    x = 472,366.85

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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.