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Finding the Fourth Proportional to 509,300.90, 763,977.27 and 189,381.86

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Solution

The fourth proportional to 509,300.90, 763,977.27 and 189,381.86 is: 284,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,300.90 : 763,977.27 = 189,381.86 : x
  2. Step 2: Convert to fraction form
    509,300.90/763,977.27 = 189,381.86/x
  3. Step 3: Cross multiply
    509,300.90x = 763,977.27 × 189,381.86
  4. Step 4: Simplify right side
    509,300.90x = 144,683,436,390.32
  5. Step 5: Solve for x
    x = 144,683,436,390.32/509,300.90
  6. Step 6: Final answer
    x = 284,082.43

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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.