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Finding the Fourth Proportional to 306,341.81, 422,747.93 and 172,205.81

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Solution

The fourth proportional to 306,341.81, 422,747.93 and 172,205.81 is: 237,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,341.81 : 422,747.93 = 172,205.81 : x
  2. Step 2: Convert to fraction form
    306,341.81/422,747.93 = 172,205.81/x
  3. Step 3: Cross multiply
    306,341.81x = 422,747.93 × 172,205.81
  4. Step 4: Simplify right side
    306,341.81x = 72,799,648,028.25
  5. Step 5: Solve for x
    x = 72,799,648,028.25/306,341.81
  6. Step 6: Final answer
    x = 237,641.90

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1.5x scale

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.