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Finding the Fourth Proportional to 527,562.96, 728,035.80 and 285,851.64

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Solution

The fourth proportional to 527,562.96, 728,035.80 and 285,851.64 is: 394,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,562.96 : 728,035.80 = 285,851.64 : x
  2. Step 2: Convert to fraction form
    527,562.96/728,035.80 = 285,851.64/x
  3. Step 3: Cross multiply
    527,562.96x = 728,035.80 × 285,851.64
  4. Step 4: Simplify right side
    527,562.96x = 208,110,227,408.71
  5. Step 5: Solve for x
    x = 208,110,227,408.71/527,562.96
  6. Step 6: Final answer
    x = 394,474.68

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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.