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Finding the Fourth Proportional to 523,642.32, 722,627.07 and 297,287.82

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Solution

The fourth proportional to 523,642.32, 722,627.07 and 297,287.82 is: 410,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,642.32 : 722,627.07 = 297,287.82 : x
  2. Step 2: Convert to fraction form
    523,642.32/722,627.07 = 297,287.82/x
  3. Step 3: Cross multiply
    523,642.32x = 722,627.07 × 297,287.82
  4. Step 4: Simplify right side
    523,642.32x = 214,828,222,700.15
  5. Step 5: Solve for x
    x = 214,828,222,700.15/523,642.32
  6. Step 6: Final answer
    x = 410,257.57

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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.