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Finding the Fourth Proportional to 527,704.02, 728,309.73 and 334,129.73

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Solution

The fourth proportional to 527,704.02, 728,309.73 and 334,129.73 is: 461,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,704.02 : 728,309.73 = 334,129.73 : x
  2. Step 2: Convert to fraction form
    527,704.02/728,309.73 = 334,129.73/x
  3. Step 3: Cross multiply
    527,704.02x = 728,309.73 × 334,129.73
  4. Step 4: Simplify right side
    527,704.02x = 243,349,929,799.72
  5. Step 5: Solve for x
    x = 243,349,929,799.72/527,704.02
  6. Step 6: Final answer
    x = 461,148.52

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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.