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Finding the Fourth Proportional to 516,903.42, 775,355.40 and 196,980.69

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Solution

The fourth proportional to 516,903.42, 775,355.40 and 196,980.69 is: 295,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,903.42 : 775,355.40 = 196,980.69 : x
  2. Step 2: Convert to fraction form
    516,903.42/775,355.40 = 196,980.69/x
  3. Step 3: Cross multiply
    516,903.42x = 775,355.40 × 196,980.69
  4. Step 4: Simplify right side
    516,903.42x = 152,730,040,702.32
  5. Step 5: Solve for x
    x = 152,730,040,702.32/516,903.42
  6. Step 6: Final answer
    x = 295,471.14

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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.