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Finding the Fourth Proportional to 428,980.64, 643,474.64 and 109,132.80

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Solution

The fourth proportional to 428,980.64, 643,474.64 and 109,132.80 is: 163,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,980.64 : 643,474.64 = 109,132.80 : x
  2. Step 2: Convert to fraction form
    428,980.64/643,474.64 = 109,132.80/x
  3. Step 3: Cross multiply
    428,980.64x = 643,474.64 × 109,132.80
  4. Step 4: Simplify right side
    428,980.64x = 70,224,188,646.53
  5. Step 5: Solve for x
    x = 70,224,188,646.53/428,980.64
  6. Step 6: Final answer
    x = 163,700.14

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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.