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Finding the Fourth Proportional to 309,683.16, 427,041.24 and 218,997.72

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Solution

The fourth proportional to 309,683.16, 427,041.24 and 218,997.72 is: 301,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,683.16 : 427,041.24 = 218,997.72 : x
  2. Step 2: Convert to fraction form
    309,683.16/427,041.24 = 218,997.72/x
  3. Step 3: Cross multiply
    309,683.16x = 427,041.24 × 218,997.72
  4. Step 4: Simplify right side
    309,683.16x = 93,521,057,905.97
  5. Step 5: Solve for x
    x = 93,521,057,905.97/309,683.16
  6. Step 6: Final answer
    x = 301,989.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.