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Finding the Fourth Proportional to 287,945.89, 397,373.65 and 158,892.84

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Solution

The fourth proportional to 287,945.89, 397,373.65 and 158,892.84 is: 219,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,945.89 : 397,373.65 = 158,892.84 : x
  2. Step 2: Convert to fraction form
    287,945.89/397,373.65 = 158,892.84/x
  3. Step 3: Cross multiply
    287,945.89x = 397,373.65 × 158,892.84
  4. Step 4: Simplify right side
    287,945.89x = 63,139,827,392.43
  5. Step 5: Solve for x
    x = 63,139,827,392.43/287,945.89
  6. Step 6: Final answer
    x = 219,276.71

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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.