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Finding the Fourth Proportional to 309,116, 463,674 and 87,500

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Solution

The fourth proportional to 309,116, 463,674 and 87,500 is: 131,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,116 : 463,674 = 87,500 : x
  2. Step 2: Convert to fraction form
    309,116/463,674 = 87,500/x
  3. Step 3: Cross multiply
    309,116x = 463,674 × 87,500
  4. Step 4: Simplify right side
    309,116x = 40,571,475,000
  5. Step 5: Solve for x
    x = 40,571,475,000/309,116
  6. Step 6: Final answer
    x = 131,250

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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.