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Finding the Fourth Proportional to 409,666.20, 613,923.30 and 325,570.20

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Solution

The fourth proportional to 409,666.20, 613,923.30 and 325,570.20 is: 487,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,666.20 : 613,923.30 = 325,570.20 : x
  2. Step 2: Convert to fraction form
    409,666.20/613,923.30 = 325,570.20/x
  3. Step 3: Cross multiply
    409,666.20x = 613,923.30 × 325,570.20
  4. Step 4: Simplify right side
    409,666.20x = 199,875,131,565.66
  5. Step 5: Solve for x
    x = 199,875,131,565.66/409,666.20
  6. Step 6: Final answer
    x = 487,897.54

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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.