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Finding the Fourth Proportional to 457,681.60, 686,522.40 and 270,596.80

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Solution

The fourth proportional to 457,681.60, 686,522.40 and 270,596.80 is: 405,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,681.60 : 686,522.40 = 270,596.80 : x
  2. Step 2: Convert to fraction form
    457,681.60/686,522.40 = 270,596.80/x
  3. Step 3: Cross multiply
    457,681.60x = 686,522.40 × 270,596.80
  4. Step 4: Simplify right side
    457,681.60x = 185,770,764,568.32
  5. Step 5: Solve for x
    x = 185,770,764,568.32/457,681.60
  6. Step 6: Final answer
    x = 405,895.20

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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.