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Finding the Fourth Proportional to 379,486.81, 523,671.24 and 209,710

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Solution

The fourth proportional to 379,486.81, 523,671.24 and 209,710 is: 289,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,486.81 : 523,671.24 = 209,710 : x
  2. Step 2: Convert to fraction form
    379,486.81/523,671.24 = 209,710/x
  3. Step 3: Cross multiply
    379,486.81x = 523,671.24 × 209,710
  4. Step 4: Simplify right side
    379,486.81x = 109,819,095,740.40
  5. Step 5: Solve for x
    x = 109,819,095,740.40/379,486.81
  6. Step 6: Final answer
    x = 289,388.44

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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.