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Finding the Fourth Proportional to 309,145.60, 463,459.20 and 161,401.60

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Solution

The fourth proportional to 309,145.60, 463,459.20 and 161,401.60 is: 241,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,145.60 : 463,459.20 = 161,401.60 : x
  2. Step 2: Convert to fraction form
    309,145.60/463,459.20 = 161,401.60/x
  3. Step 3: Cross multiply
    309,145.60x = 463,459.20 × 161,401.60
  4. Step 4: Simplify right side
    309,145.60x = 74,803,056,414.72
  5. Step 5: Solve for x
    x = 74,803,056,414.72/309,145.60
  6. Step 6: Final answer
    x = 241,967.07

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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.