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Finding the Fourth Proportional to 289,164.64, 399,047.16 and 161,840.23

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Solution

The fourth proportional to 289,164.64, 399,047.16 and 161,840.23 is: 223,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,164.64 : 399,047.16 = 161,840.23 : x
  2. Step 2: Convert to fraction form
    289,164.64/399,047.16 = 161,840.23/x
  3. Step 3: Cross multiply
    289,164.64x = 399,047.16 × 161,840.23
  4. Step 4: Simplify right side
    289,164.64x = 64,581,884,155.25
  5. Step 5: Solve for x
    x = 64,581,884,155.25/289,164.64
  6. Step 6: Final answer
    x = 223,339.49

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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.