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Finding the Fourth Proportional to 379,484.12, 523,656.66 and 209,717.84

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Solution

The fourth proportional to 379,484.12, 523,656.66 and 209,717.84 is: 289,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,484.12 : 523,656.66 = 209,717.84 : x
  2. Step 2: Convert to fraction form
    379,484.12/523,656.66 = 209,717.84/x
  3. Step 3: Cross multiply
    379,484.12x = 523,656.66 × 209,717.84
  4. Step 4: Simplify right side
    379,484.12x = 109,820,143,636.81
  5. Step 5: Solve for x
    x = 109,820,143,636.81/379,484.12
  6. Step 6: Final answer
    x = 289,393.25

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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.