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Finding the Fourth Proportional to 379,609.74, 523,835.10 and 209,830.50

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Solution

The fourth proportional to 379,609.74, 523,835.10 and 209,830.50 is: 289,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,609.74 : 523,835.10 = 209,830.50 : x
  2. Step 2: Convert to fraction form
    379,609.74/523,835.10 = 209,830.50/x
  3. Step 3: Cross multiply
    379,609.74x = 523,835.10 × 209,830.50
  4. Step 4: Simplify right side
    379,609.74x = 109,916,580,950.55
  5. Step 5: Solve for x
    x = 109,916,580,950.55/379,609.74
  6. Step 6: Final answer
    x = 289,551.53

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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.