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Finding the Fourth Proportional to 320,755.85, 480,993.64 and 152,324.45

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Solution

The fourth proportional to 320,755.85, 480,993.64 and 152,324.45 is: 228,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,755.85 : 480,993.64 = 152,324.45 : x
  2. Step 2: Convert to fraction form
    320,755.85/480,993.64 = 152,324.45/x
  3. Step 3: Cross multiply
    320,755.85x = 480,993.64 × 152,324.45
  4. Step 4: Simplify right side
    320,755.85x = 73,267,091,666.50
  5. Step 5: Solve for x
    x = 73,267,091,666.50/320,755.85
  6. Step 6: Final answer
    x = 228,420.13

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1.5x scale

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.