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Finding the Fourth Proportional to 509,306.34, 763,959.65 and 189,416.41

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Solution

The fourth proportional to 509,306.34, 763,959.65 and 189,416.41 is: 284,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,306.34 : 763,959.65 = 189,416.41 : x
  2. Step 2: Convert to fraction form
    509,306.34/763,959.65 = 189,416.41/x
  3. Step 3: Cross multiply
    509,306.34x = 763,959.65 × 189,416.41
  4. Step 4: Simplify right side
    509,306.34x = 144,706,494,287.86
  5. Step 5: Solve for x
    x = 144,706,494,287.86/509,306.34
  6. Step 6: Final answer
    x = 284,124.67

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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.