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Finding the Fourth Proportional to 523,319.57, 722,293.56 and 319,326.81

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Solution

The fourth proportional to 523,319.57, 722,293.56 and 319,326.81 is: 440,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,319.57 : 722,293.56 = 319,326.81 : x
  2. Step 2: Convert to fraction form
    523,319.57/722,293.56 = 319,326.81/x
  3. Step 3: Cross multiply
    523,319.57x = 722,293.56 × 319,326.81
  4. Step 4: Simplify right side
    523,319.57x = 230,647,698,398.34
  5. Step 5: Solve for x
    x = 230,647,698,398.34/523,319.57
  6. Step 6: Final answer
    x = 440,739.68

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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.