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Finding the Fourth Proportional to 319,231.51, 478,524.08 and 206,982.79

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Solution

The fourth proportional to 319,231.51, 478,524.08 and 206,982.79 is: 310,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,231.51 : 478,524.08 = 206,982.79 : x
  2. Step 2: Convert to fraction form
    319,231.51/478,524.08 = 206,982.79/x
  3. Step 3: Cross multiply
    319,231.51x = 478,524.08 × 206,982.79
  4. Step 4: Simplify right side
    319,231.51x = 99,046,248,125.67
  5. Step 5: Solve for x
    x = 99,046,248,125.67/319,231.51
  6. Step 6: Final answer
    x = 310,264.64

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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.