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Finding the Fourth Proportional to 282,236.78, 423,311.42 and 82,510.22

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Solution

The fourth proportional to 282,236.78, 423,311.42 and 82,510.22 is: 123,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,236.78 : 423,311.42 = 82,510.22 : x
  2. Step 2: Convert to fraction form
    282,236.78/423,311.42 = 82,510.22/x
  3. Step 3: Cross multiply
    282,236.78x = 423,311.42 × 82,510.22
  4. Step 4: Simplify right side
    282,236.78x = 34,927,518,392.71
  5. Step 5: Solve for x
    x = 34,927,518,392.71/282,236.78
  6. Step 6: Final answer
    x = 123,752.54

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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.