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Finding the Fourth Proportional to 318,501.76, 477,821.76 and 96,880

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Solution

The fourth proportional to 318,501.76, 477,821.76 and 96,880 is: 145,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,501.76 : 477,821.76 = 96,880 : x
  2. Step 2: Convert to fraction form
    318,501.76/477,821.76 = 96,880/x
  3. Step 3: Cross multiply
    318,501.76x = 477,821.76 × 96,880
  4. Step 4: Simplify right side
    318,501.76x = 46,291,372,108.80
  5. Step 5: Solve for x
    x = 46,291,372,108.80/318,501.76
  6. Step 6: Final answer
    x = 145,341.02

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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.