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Finding the Fourth Proportional to 428,539.64, 642,747.48 and 300,066.16

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Solution

The fourth proportional to 428,539.64, 642,747.48 and 300,066.16 is: 450,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,539.64 : 642,747.48 = 300,066.16 : x
  2. Step 2: Convert to fraction form
    428,539.64/642,747.48 = 300,066.16/x
  3. Step 3: Cross multiply
    428,539.64x = 642,747.48 × 300,066.16
  4. Step 4: Simplify right side
    428,539.64x = 192,866,768,173.28
  5. Step 5: Solve for x
    x = 192,866,768,173.28/428,539.64
  6. Step 6: Final answer
    x = 450,055.84

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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.