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Finding the Fourth Proportional to 428,438.40, 642,657.60 and 360,009.60

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Solution

The fourth proportional to 428,438.40, 642,657.60 and 360,009.60 is: 540,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,438.40 : 642,657.60 = 360,009.60 : x
  2. Step 2: Convert to fraction form
    428,438.40/642,657.60 = 360,009.60/x
  3. Step 3: Cross multiply
    428,438.40x = 642,657.60 × 360,009.60
  4. Step 4: Simplify right side
    428,438.40x = 231,362,905,512.96
  5. Step 5: Solve for x
    x = 231,362,905,512.96/428,438.40
  6. Step 6: Final answer
    x = 540,014.40

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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.