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Finding the Fourth Proportional to 282,017, 423,037.02 and 71,660.36

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Solution

The fourth proportional to 282,017, 423,037.02 and 71,660.36 is: 107,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,017 : 423,037.02 = 71,660.36 : x
  2. Step 2: Convert to fraction form
    282,017/423,037.02 = 71,660.36/x
  3. Step 3: Cross multiply
    282,017x = 423,037.02 × 71,660.36
  4. Step 4: Simplify right side
    282,017x = 30,314,985,146.53
  5. Step 5: Solve for x
    x = 30,314,985,146.53/282,017
  6. Step 6: Final answer
    x = 107,493.47

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1.5x scale

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.