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Finding the Fourth Proportional to 272,967,771.20, 409,451,656.80 and 169,655,640.80

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Solution

The fourth proportional to 272,967,771.20, 409,451,656.80 and 169,655,640.80 is: 254,483,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,967,771.20 : 409,451,656.80 = 169,655,640.80 : x
  2. Step 2: Convert to fraction form
    272,967,771.20/409,451,656.80 = 169,655,640.80/x
  3. Step 3: Cross multiply
    272,967,771.20x = 409,451,656.80 × 169,655,640.80
  4. Step 4: Simplify right side
    272,967,771.20x = 69,465,783,211,025,688
  5. Step 5: Solve for x
    x = 69,465,783,211,025,688/272,967,771.20
  6. Step 6: Final answer
    x = 254,483,461.20

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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.