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Finding the Fourth Proportional to 281,842.79, 388,942.13 and 152,781.77

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Solution

The fourth proportional to 281,842.79, 388,942.13 and 152,781.77 is: 210,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,842.79 : 388,942.13 = 152,781.77 : x
  2. Step 2: Convert to fraction form
    281,842.79/388,942.13 = 152,781.77/x
  3. Step 3: Cross multiply
    281,842.79x = 388,942.13 × 152,781.77
  4. Step 4: Simplify right side
    281,842.79x = 59,423,267,048.97
  5. Step 5: Solve for x
    x = 59,423,267,048.97/281,842.79
  6. Step 6: Final answer
    x = 210,838.34

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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.