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Finding the Fourth Proportional to 281,382.84, 388,305.78 and 152,320.68

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Solution

The fourth proportional to 281,382.84, 388,305.78 and 152,320.68 is: 210,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,382.84 : 388,305.78 = 152,320.68 : x
  2. Step 2: Convert to fraction form
    281,382.84/388,305.78 = 152,320.68/x
  3. Step 3: Cross multiply
    281,382.84x = 388,305.78 × 152,320.68
  4. Step 4: Simplify right side
    281,382.84x = 59,147,000,457.53
  5. Step 5: Solve for x
    x = 59,147,000,457.53/281,382.84
  6. Step 6: Final answer
    x = 210,201.16

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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.