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Finding the Fourth Proportional to 527,810.28, 728,379.74 and 286,093.81

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Solution

The fourth proportional to 527,810.28, 728,379.74 and 286,093.81 is: 394,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,810.28 : 728,379.74 = 286,093.81 : x
  2. Step 2: Convert to fraction form
    527,810.28/728,379.74 = 286,093.81/x
  3. Step 3: Cross multiply
    527,810.28x = 728,379.74 × 286,093.81
  4. Step 4: Simplify right side
    527,810.28x = 208,384,936,569.12
  5. Step 5: Solve for x
    x = 208,384,936,569.12/527,810.28
  6. Step 6: Final answer
    x = 394,810.31

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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.