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Finding the Fourth Proportional to 306,344.93, 422,752.24 and 172,208.93

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Solution

The fourth proportional to 306,344.93, 422,752.24 and 172,208.93 is: 237,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,344.93 : 422,752.24 = 172,208.93 : x
  2. Step 2: Convert to fraction form
    306,344.93/422,752.24 = 172,208.93/x
  3. Step 3: Cross multiply
    306,344.93x = 422,752.24 × 172,208.93
  4. Step 4: Simplify right side
    306,344.93x = 72,801,710,905.50
  5. Step 5: Solve for x
    x = 72,801,710,905.50/306,344.93
  6. Step 6: Final answer
    x = 237,646.21

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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.