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Finding the Fourth Proportional to 313,588, 432,751.44 and 172,276

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Solution

The fourth proportional to 313,588, 432,751.44 and 172,276 is: 237,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,588 : 432,751.44 = 172,276 : x
  2. Step 2: Convert to fraction form
    313,588/432,751.44 = 172,276/x
  3. Step 3: Cross multiply
    313,588x = 432,751.44 × 172,276
  4. Step 4: Simplify right side
    313,588x = 74,552,687,077.44
  5. Step 5: Solve for x
    x = 74,552,687,077.44/313,588
  6. Step 6: Final answer
    x = 237,740.88

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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.