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Finding the Fourth Proportional to 281,034.97, 387,823.44 and 153,707.83

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Solution

The fourth proportional to 281,034.97, 387,823.44 and 153,707.83 is: 212,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,034.97 : 387,823.44 = 153,707.83 : x
  2. Step 2: Convert to fraction form
    281,034.97/387,823.44 = 153,707.83/x
  3. Step 3: Cross multiply
    281,034.97x = 387,823.44 × 153,707.83
  4. Step 4: Simplify right side
    281,034.97x = 59,611,498,992.38
  5. Step 5: Solve for x
    x = 59,611,498,992.38/281,034.97
  6. Step 6: Final answer
    x = 212,114.17

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1.5x scale

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.