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Finding the Fourth Proportional to 328,322.55, 492,483.83 and 285,019.95

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Solution

The fourth proportional to 328,322.55, 492,483.83 and 285,019.95 is: 427,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,322.55 : 492,483.83 = 285,019.95 : x
  2. Step 2: Convert to fraction form
    328,322.55/492,483.83 = 285,019.95/x
  3. Step 3: Cross multiply
    328,322.55x = 492,483.83 × 285,019.95
  4. Step 4: Simplify right side
    328,322.55x = 140,367,715,177.31
  5. Step 5: Solve for x
    x = 140,367,715,177.31/328,322.55
  6. Step 6: Final answer
    x = 427,529.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.