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Finding the Fourth Proportional to 523,315.45, 722,287.87 and 319,322.67

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Solution

The fourth proportional to 523,315.45, 722,287.87 and 319,322.67 is: 440,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,315.45 : 722,287.87 = 319,322.67 : x
  2. Step 2: Convert to fraction form
    523,315.45/722,287.87 = 319,322.67/x
  3. Step 3: Cross multiply
    523,315.45x = 722,287.87 × 319,322.67
  4. Step 4: Simplify right side
    523,315.45x = 230,642,887,650.13
  5. Step 5: Solve for x
    x = 230,642,887,650.13/523,315.45
  6. Step 6: Final answer
    x = 440,733.95

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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.