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Finding the Fourth Proportional to 379,657.32, 523,904.59 and 209,881.32

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Solution

The fourth proportional to 379,657.32, 523,904.59 and 209,881.32 is: 289,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,657.32 : 523,904.59 = 209,881.32 : x
  2. Step 2: Convert to fraction form
    379,657.32/523,904.59 = 209,881.32/x
  3. Step 3: Cross multiply
    379,657.32x = 523,904.59 × 209,881.32
  4. Step 4: Simplify right side
    379,657.32x = 109,957,786,903.26
  5. Step 5: Solve for x
    x = 109,957,786,903.26/379,657.32
  6. Step 6: Final answer
    x = 289,623.78

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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.