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Finding the Fourth Proportional to 282,393, 423,641.70 and 92,863.80

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Solution

The fourth proportional to 282,393, 423,641.70 and 92,863.80 is: 139,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,393 : 423,641.70 = 92,863.80 : x
  2. Step 2: Convert to fraction form
    282,393/423,641.70 = 92,863.80/x
  3. Step 3: Cross multiply
    282,393x = 423,641.70 × 92,863.80
  4. Step 4: Simplify right side
    282,393x = 39,340,978,100.46
  5. Step 5: Solve for x
    x = 39,340,978,100.46/282,393
  6. Step 6: Final answer
    x = 139,312.87

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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.