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Finding the Fourth Proportional to 309,108.60, 463,403.70 and 161,364.60

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Solution

The fourth proportional to 309,108.60, 463,403.70 and 161,364.60 is: 241,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,108.60 : 463,403.70 = 161,364.60 : x
  2. Step 2: Convert to fraction form
    309,108.60/463,403.70 = 161,364.60/x
  3. Step 3: Cross multiply
    309,108.60x = 463,403.70 × 161,364.60
  4. Step 4: Simplify right side
    309,108.60x = 74,776,952,689.02
  5. Step 5: Solve for x
    x = 74,776,952,689.02/309,108.60
  6. Step 6: Final answer
    x = 241,911.59

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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.