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Finding the Fourth Proportional to 565,982.72, 781,072.64 and 324,288

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Solution

The fourth proportional to 565,982.72, 781,072.64 and 324,288 is: 447,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,982.72 : 781,072.64 = 324,288 : x
  2. Step 2: Convert to fraction form
    565,982.72/781,072.64 = 324,288/x
  3. Step 3: Cross multiply
    565,982.72x = 781,072.64 × 324,288
  4. Step 4: Simplify right side
    565,982.72x = 253,292,484,280.32
  5. Step 5: Solve for x
    x = 253,292,484,280.32/565,982.72
  6. Step 6: Final answer
    x = 447,526.89

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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.