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Finding the Fourth Proportional to 379,330.02, 523,486.02 and 209,575.08

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Solution

The fourth proportional to 379,330.02, 523,486.02 and 209,575.08 is: 289,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,330.02 : 523,486.02 = 209,575.08 : x
  2. Step 2: Convert to fraction form
    379,330.02/523,486.02 = 209,575.08/x
  3. Step 3: Cross multiply
    379,330.02x = 523,486.02 × 209,575.08
  4. Step 4: Simplify right side
    379,330.02x = 109,709,624,520.38
  5. Step 5: Solve for x
    x = 109,709,624,520.38/379,330.02
  6. Step 6: Final answer
    x = 289,219.46

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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.