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Finding the Fourth Proportional to 410,994, 616,491 and 115,506

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Solution

The fourth proportional to 410,994, 616,491 and 115,506 is: 173,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,994 : 616,491 = 115,506 : x
  2. Step 2: Convert to fraction form
    410,994/616,491 = 115,506/x
  3. Step 3: Cross multiply
    410,994x = 616,491 × 115,506
  4. Step 4: Simplify right side
    410,994x = 71,208,409,446
  5. Step 5: Solve for x
    x = 71,208,409,446/410,994
  6. Step 6: Final answer
    x = 173,259

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.