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Finding the Fourth Proportional to 527,473.83, 727,913.01 and 285,762.54

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Solution

The fourth proportional to 527,473.83, 727,913.01 and 285,762.54 is: 394,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,473.83 : 727,913.01 = 285,762.54 : x
  2. Step 2: Convert to fraction form
    527,473.83/727,913.01 = 285,762.54/x
  3. Step 3: Cross multiply
    527,473.83x = 727,913.01 × 285,762.54
  4. Step 4: Simplify right side
    527,473.83x = 208,010,270,636.65
  5. Step 5: Solve for x
    x = 208,010,270,636.65/527,473.83
  6. Step 6: Final answer
    x = 394,351.83

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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.