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Finding the Fourth Proportional to 469,419.30, 647,798.81 and 254,559.30

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Solution

The fourth proportional to 469,419.30, 647,798.81 and 254,559.30 is: 351,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,419.30 : 647,798.81 = 254,559.30 : x
  2. Step 2: Convert to fraction form
    469,419.30/647,798.81 = 254,559.30/x
  3. Step 3: Cross multiply
    469,419.30x = 647,798.81 × 254,559.30
  4. Step 4: Simplify right side
    469,419.30x = 164,903,211,614.43
  5. Step 5: Solve for x
    x = 164,903,211,614.43/469,419.30
  6. Step 6: Final answer
    x = 351,291.93

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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.