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Finding the Fourth Proportional to 500,178.62, 690,312.21 and 285,269.42

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Solution

The fourth proportional to 500,178.62, 690,312.21 and 285,269.42 is: 393,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,178.62 : 690,312.21 = 285,269.42 : x
  2. Step 2: Convert to fraction form
    500,178.62/690,312.21 = 285,269.42/x
  3. Step 3: Cross multiply
    500,178.62x = 690,312.21 × 285,269.42
  4. Step 4: Simplify right side
    500,178.62x = 196,924,964,421.64
  5. Step 5: Solve for x
    x = 196,924,964,421.64/500,178.62
  6. Step 6: Final answer
    x = 393,709.28

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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.