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Finding the Fourth Proportional to 409,707.20, 613,984.80 and 325,611.20

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Solution

The fourth proportional to 409,707.20, 613,984.80 and 325,611.20 is: 487,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,707.20 : 613,984.80 = 325,611.20 : x
  2. Step 2: Convert to fraction form
    409,707.20/613,984.80 = 325,611.20/x
  3. Step 3: Cross multiply
    409,707.20x = 613,984.80 × 325,611.20
  4. Step 4: Simplify right side
    409,707.20x = 199,920,327,509.76
  5. Step 5: Solve for x
    x = 199,920,327,509.76/409,707.20
  6. Step 6: Final answer
    x = 487,959.03

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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.