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Finding the Fourth Proportional to 523,628, 722,606.64 and 285,164

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Solution

The fourth proportional to 523,628, 722,606.64 and 285,164 is: 393,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,628 : 722,606.64 = 285,164 : x
  2. Step 2: Convert to fraction form
    523,628/722,606.64 = 285,164/x
  3. Step 3: Cross multiply
    523,628x = 722,606.64 × 285,164
  4. Step 4: Simplify right side
    523,628x = 206,061,399,888.96
  5. Step 5: Solve for x
    x = 206,061,399,888.96/523,628
  6. Step 6: Final answer
    x = 393,526.32

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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.