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Finding the Fourth Proportional to 513,766.18, 708,999.33 and 287,411.86

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Solution

The fourth proportional to 513,766.18, 708,999.33 and 287,411.86 is: 396,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,766.18 : 708,999.33 = 287,411.86 : x
  2. Step 2: Convert to fraction form
    513,766.18/708,999.33 = 287,411.86/x
  3. Step 3: Cross multiply
    513,766.18x = 708,999.33 × 287,411.86
  4. Step 4: Simplify right side
    513,766.18x = 203,774,816,174.05
  5. Step 5: Solve for x
    x = 203,774,816,174.05/513,766.18
  6. Step 6: Final answer
    x = 396,629.49

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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.