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Finding the Fourth Proportional to 210,791.05, 316,400.32 and 186,928.50

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Solution

The fourth proportional to 210,791.05, 316,400.32 and 186,928.50 is: 280,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,791.05 : 316,400.32 = 186,928.50 : x
  2. Step 2: Convert to fraction form
    210,791.05/316,400.32 = 186,928.50/x
  3. Step 3: Cross multiply
    210,791.05x = 316,400.32 × 186,928.50
  4. Step 4: Simplify right side
    210,791.05x = 59,144,236,264.28
  5. Step 5: Solve for x
    x = 59,144,236,264.28/210,791.05
  6. Step 6: Final answer
    x = 280,582.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.