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Finding the Fourth Proportional to 538,495.89, 743,250.96 and 334,700.72

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Solution

The fourth proportional to 538,495.89, 743,250.96 and 334,700.72 is: 461,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,495.89 : 743,250.96 = 334,700.72 : x
  2. Step 2: Convert to fraction form
    538,495.89/743,250.96 = 334,700.72/x
  3. Step 3: Cross multiply
    538,495.89x = 743,250.96 × 334,700.72
  4. Step 4: Simplify right side
    538,495.89x = 248,766,629,779.19
  5. Step 5: Solve for x
    x = 248,766,629,779.19/538,495.89
  6. Step 6: Final answer
    x = 461,965.70

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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.