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Finding the Fourth Proportional to 281,751.64, 388,816.40 and 152,693.80

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Solution

The fourth proportional to 281,751.64, 388,816.40 and 152,693.80 is: 210,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,751.64 : 388,816.40 = 152,693.80 : x
  2. Step 2: Convert to fraction form
    281,751.64/388,816.40 = 152,693.80/x
  3. Step 3: Cross multiply
    281,751.64x = 388,816.40 × 152,693.80
  4. Step 4: Simplify right side
    281,751.64x = 59,369,853,028.01
  5. Step 5: Solve for x
    x = 59,369,853,028.01/281,751.64
  6. Step 6: Final answer
    x = 210,716.98

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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.