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Finding the Fourth Proportional to 527,918.48, 728,518.56 and 298,471.96

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Solution

The fourth proportional to 527,918.48, 728,518.56 and 298,471.96 is: 411,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,918.48 : 728,518.56 = 298,471.96 : x
  2. Step 2: Convert to fraction form
    527,918.48/728,518.56 = 298,471.96/x
  3. Step 3: Cross multiply
    527,918.48x = 728,518.56 × 298,471.96
  4. Step 4: Simplify right side
    527,918.48x = 217,442,362,499.58
  5. Step 5: Solve for x
    x = 217,442,362,499.58/527,918.48
  6. Step 6: Final answer
    x = 411,886.25

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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.