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Finding the Fourth Proportional to 523,610.19, 722,640.71 and 316,992.46

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Solution

The fourth proportional to 523,610.19, 722,640.71 and 316,992.46 is: 437,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,610.19 : 722,640.71 = 316,992.46 : x
  2. Step 2: Convert to fraction form
    523,610.19/722,640.71 = 316,992.46/x
  3. Step 3: Cross multiply
    523,610.19x = 722,640.71 × 316,992.46
  4. Step 4: Simplify right side
    523,610.19x = 229,071,656,359.05
  5. Step 5: Solve for x
    x = 229,071,656,359.05/523,610.19
  6. Step 6: Final answer
    x = 437,485.10

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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.