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Finding the Fourth Proportional to 316,070.82, 436,193.94 and 172,829.34

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Solution

The fourth proportional to 316,070.82, 436,193.94 and 172,829.34 is: 238,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,070.82 : 436,193.94 = 172,829.34 : x
  2. Step 2: Convert to fraction form
    316,070.82/436,193.94 = 172,829.34/x
  3. Step 3: Cross multiply
    316,070.82x = 436,193.94 × 172,829.34
  4. Step 4: Simplify right side
    316,070.82x = 75,387,110,762.20
  5. Step 5: Solve for x
    x = 75,387,110,762.20/316,070.82
  6. Step 6: Final answer
    x = 238,513.35

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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.