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Finding the Fourth Proportional to 319,989.80, 479,984.70 and 315,324.20

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Solution

The fourth proportional to 319,989.80, 479,984.70 and 315,324.20 is: 472,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,989.80 : 479,984.70 = 315,324.20 : x
  2. Step 2: Convert to fraction form
    319,989.80/479,984.70 = 315,324.20/x
  3. Step 3: Cross multiply
    319,989.80x = 479,984.70 × 315,324.20
  4. Step 4: Simplify right side
    319,989.80x = 151,350,791,539.74
  5. Step 5: Solve for x
    x = 151,350,791,539.74/319,989.80
  6. Step 6: Final answer
    x = 472,986.30

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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.