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Finding the Fourth Proportional to 282,045.80, 422,915.10 and 115,645.80

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Solution

The fourth proportional to 282,045.80, 422,915.10 and 115,645.80 is: 173,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,045.80 : 422,915.10 = 115,645.80 : x
  2. Step 2: Convert to fraction form
    282,045.80/422,915.10 = 115,645.80/x
  3. Step 3: Cross multiply
    282,045.80x = 422,915.10 × 115,645.80
  4. Step 4: Simplify right side
    282,045.80x = 48,908,355,071.58
  5. Step 5: Solve for x
    x = 48,908,355,071.58/282,045.80
  6. Step 6: Final answer
    x = 173,405.72

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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.