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Finding the Fourth Proportional to 527,558.31, 728,013.51 and 301,203.81

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Solution

The fourth proportional to 527,558.31, 728,013.51 and 301,203.81 is: 415,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,558.31 : 728,013.51 = 301,203.81 : x
  2. Step 2: Convert to fraction form
    527,558.31/728,013.51 = 301,203.81/x
  3. Step 3: Cross multiply
    527,558.31x = 728,013.51 × 301,203.81
  4. Step 4: Simplify right side
    527,558.31x = 219,280,442,943.47
  5. Step 5: Solve for x
    x = 219,280,442,943.47/527,558.31
  6. Step 6: Final answer
    x = 415,651.58

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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.