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Finding the Fourth Proportional to 523,317.32, 722,290.46 and 319,324.55

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Solution

The fourth proportional to 523,317.32, 722,290.46 and 319,324.55 is: 440,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,317.32 : 722,290.46 = 319,324.55 : x
  2. Step 2: Convert to fraction form
    523,317.32/722,290.46 = 319,324.55/x
  3. Step 3: Cross multiply
    523,317.32x = 722,290.46 × 319,324.55
  4. Step 4: Simplify right side
    523,317.32x = 230,645,076,317.90
  5. Step 5: Solve for x
    x = 230,645,076,317.90/523,317.32
  6. Step 6: Final answer
    x = 440,736.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.