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Finding the Fourth Proportional to 415,266.40, 622,510.80 and 325,259.20

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Solution

The fourth proportional to 415,266.40, 622,510.80 and 325,259.20 is: 487,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,266.40 : 622,510.80 = 325,259.20 : x
  2. Step 2: Convert to fraction form
    415,266.40/622,510.80 = 325,259.20/x
  3. Step 3: Cross multiply
    415,266.40x = 622,510.80 × 325,259.20
  4. Step 4: Simplify right side
    415,266.40x = 202,477,364,799.36
  5. Step 5: Solve for x
    x = 202,477,364,799.36/415,266.40
  6. Step 6: Final answer
    x = 487,584.27

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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.