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Finding the Fourth Proportional to 521,463.96, 719,630.46 and 340,291.80

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Solution

The fourth proportional to 521,463.96, 719,630.46 and 340,291.80 is: 469,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,463.96 : 719,630.46 = 340,291.80 : x
  2. Step 2: Convert to fraction form
    521,463.96/719,630.46 = 340,291.80/x
  3. Step 3: Cross multiply
    521,463.96x = 719,630.46 × 340,291.80
  4. Step 4: Simplify right side
    521,463.96x = 244,884,344,568.23
  5. Step 5: Solve for x
    x = 244,884,344,568.23/521,463.96
  6. Step 6: Final answer
    x = 469,609.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.