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Finding the Fourth Proportional to 289,172.76, 399,058.32 and 161,848.32

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Solution

The fourth proportional to 289,172.76, 399,058.32 and 161,848.32 is: 223,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,172.76 : 399,058.32 = 161,848.32 : x
  2. Step 2: Convert to fraction form
    289,172.76/399,058.32 = 161,848.32/x
  3. Step 3: Cross multiply
    289,172.76x = 399,058.32 × 161,848.32
  4. Step 4: Simplify right side
    289,172.76x = 64,586,918,674.02
  5. Step 5: Solve for x
    x = 64,586,918,674.02/289,172.76
  6. Step 6: Final answer
    x = 223,350.63

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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.