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Finding the Fourth Proportional to 379,364.52, 523,533.66 and 209,609.64

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Solution

The fourth proportional to 379,364.52, 523,533.66 and 209,609.64 is: 289,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,364.52 : 523,533.66 = 209,609.64 : x
  2. Step 2: Convert to fraction form
    379,364.52/523,533.66 = 209,609.64/x
  3. Step 3: Cross multiply
    379,364.52x = 523,533.66 × 209,609.64
  4. Step 4: Simplify right side
    379,364.52x = 109,737,702,000.48
  5. Step 5: Solve for x
    x = 109,737,702,000.48/379,364.52
  6. Step 6: Final answer
    x = 289,267.17

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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.