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Finding the Fourth Proportional to 306,341.06, 422,746.90 and 172,205.06

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Solution

The fourth proportional to 306,341.06, 422,746.90 and 172,205.06 is: 237,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,341.06 : 422,746.90 = 172,205.06 : x
  2. Step 2: Convert to fraction form
    306,341.06/422,746.90 = 172,205.06/x
  3. Step 3: Cross multiply
    306,341.06x = 422,746.90 × 172,205.06
  4. Step 4: Simplify right side
    306,341.06x = 72,799,152,735.07
  5. Step 5: Solve for x
    x = 72,799,152,735.07/306,341.06
  6. Step 6: Final answer
    x = 237,640.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.