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Finding the Fourth Proportional to 379,434.64, 523,612.56 and 209,665.12

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Solution

The fourth proportional to 379,434.64, 523,612.56 and 209,665.12 is: 289,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,434.64 : 523,612.56 = 209,665.12 : x
  2. Step 2: Convert to fraction form
    379,434.64/523,612.56 = 209,665.12/x
  3. Step 3: Cross multiply
    379,434.64x = 523,612.56 × 209,665.12
  4. Step 4: Simplify right side
    379,434.64x = 109,783,290,225.91
  5. Step 5: Solve for x
    x = 109,783,290,225.91/379,434.64
  6. Step 6: Final answer
    x = 289,333.86

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1.5x scale

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.