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Finding the Fourth Proportional to 523,203.56, 721,999.14 and 296,861.48

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Solution

The fourth proportional to 523,203.56, 721,999.14 and 296,861.48 is: 409,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,203.56 : 721,999.14 = 296,861.48 : x
  2. Step 2: Convert to fraction form
    523,203.56/721,999.14 = 296,861.48/x
  3. Step 3: Cross multiply
    523,203.56x = 721,999.14 × 296,861.48
  4. Step 4: Simplify right side
    523,203.56x = 214,333,733,259.13
  5. Step 5: Solve for x
    x = 214,333,733,259.13/523,203.56
  6. Step 6: Final answer
    x = 409,656.49

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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.