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Finding the Fourth Proportional to 309,965.50, 465,125.65 and 120,401.34

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Solution

The fourth proportional to 309,965.50, 465,125.65 and 120,401.34 is: 180,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,965.50 : 465,125.65 = 120,401.34 : x
  2. Step 2: Convert to fraction form
    309,965.50/465,125.65 = 120,401.34/x
  3. Step 3: Cross multiply
    309,965.50x = 465,125.65 × 120,401.34
  4. Step 4: Simplify right side
    309,965.50x = 56,001,752,099.48
  5. Step 5: Solve for x
    x = 56,001,752,099.48/309,965.50
  6. Step 6: Final answer
    x = 180,670.92

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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.