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Finding the Fourth Proportional to 289,175.76, 399,062.46 and 161,851.32

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Solution

The fourth proportional to 289,175.76, 399,062.46 and 161,851.32 is: 223,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,175.76 : 399,062.46 = 161,851.32 : x
  2. Step 2: Convert to fraction form
    289,175.76/399,062.46 = 161,851.32/x
  3. Step 3: Cross multiply
    289,175.76x = 399,062.46 × 161,851.32
  4. Step 4: Simplify right side
    289,175.76x = 64,588,785,913.45
  5. Step 5: Solve for x
    x = 64,588,785,913.45/289,175.76
  6. Step 6: Final answer
    x = 223,354.77

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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.