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Finding the Fourth Proportional to 379,674.16, 523,929.40 and 209,898.16

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Solution

The fourth proportional to 379,674.16, 523,929.40 and 209,898.16 is: 289,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,674.16 : 523,929.40 = 209,898.16 : x
  2. Step 2: Convert to fraction form
    379,674.16/523,929.40 = 209,898.16/x
  3. Step 3: Cross multiply
    379,674.16x = 523,929.40 × 209,898.16
  4. Step 4: Simplify right side
    379,674.16x = 109,971,817,029.90
  5. Step 5: Solve for x
    x = 109,971,817,029.90/379,674.16
  6. Step 6: Final answer
    x = 289,647.88

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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.