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Finding the Fourth Proportional to 515,658.46, 711,651.54 and 286,237.30

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Solution

The fourth proportional to 515,658.46, 711,651.54 and 286,237.30 is: 395,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,658.46 : 711,651.54 = 286,237.30 : x
  2. Step 2: Convert to fraction form
    515,658.46/711,651.54 = 286,237.30/x
  3. Step 3: Cross multiply
    515,658.46x = 711,651.54 × 286,237.30
  4. Step 4: Simplify right side
    515,658.46x = 203,701,215,350.44
  5. Step 5: Solve for x
    x = 203,701,215,350.44/515,658.46
  6. Step 6: Final answer
    x = 395,031.27

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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.