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Finding the Fourth Proportional to 318,971.20, 478,341.60 and 161,147.20

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Solution

The fourth proportional to 318,971.20, 478,341.60 and 161,147.20 is: 241,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,971.20 : 478,341.60 = 161,147.20 : x
  2. Step 2: Convert to fraction form
    318,971.20/478,341.60 = 161,147.20/x
  3. Step 3: Cross multiply
    318,971.20x = 478,341.60 × 161,147.20
  4. Step 4: Simplify right side
    318,971.20x = 77,083,409,483.52
  5. Step 5: Solve for x
    x = 77,083,409,483.52/318,971.20
  6. Step 6: Final answer
    x = 241,662.60

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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.