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Finding the Fourth Proportional to 282,037.65, 423,011.12 and 82,311.23

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Solution

The fourth proportional to 282,037.65, 423,011.12 and 82,311.23 is: 123,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,037.65 : 423,011.12 = 82,311.23 : x
  2. Step 2: Convert to fraction form
    282,037.65/423,011.12 = 82,311.23/x
  3. Step 3: Cross multiply
    282,037.65x = 423,011.12 × 82,311.23
  4. Step 4: Simplify right side
    282,037.65x = 34,818,563,064.27
  5. Step 5: Solve for x
    x = 34,818,563,064.27/282,037.65
  6. Step 6: Final answer
    x = 123,453.60

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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.