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Finding the Fourth Proportional to 515,698.61, 711,670.29 and 286,260.44

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Solution

The fourth proportional to 515,698.61, 711,670.29 and 286,260.44 is: 395,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,698.61 : 711,670.29 = 286,260.44 : x
  2. Step 2: Convert to fraction form
    515,698.61/711,670.29 = 286,260.44/x
  3. Step 3: Cross multiply
    515,698.61x = 711,670.29 × 286,260.44
  4. Step 4: Simplify right side
    515,698.61x = 203,723,046,791.98
  5. Step 5: Solve for x
    x = 203,723,046,791.98/515,698.61
  6. Step 6: Final answer
    x = 395,042.85

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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.