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Finding the Fourth Proportional to 316,126.52, 436,260.96 and 172,895.77

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Solution

The fourth proportional to 316,126.52, 436,260.96 and 172,895.77 is: 238,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,126.52 : 436,260.96 = 172,895.77 : x
  2. Step 2: Convert to fraction form
    316,126.52/436,260.96 = 172,895.77/x
  3. Step 3: Cross multiply
    316,126.52x = 436,260.96 × 172,895.77
  4. Step 4: Simplify right side
    316,126.52x = 75,427,674,600.14
  5. Step 5: Solve for x
    x = 75,427,674,600.14/316,126.52
  6. Step 6: Final answer
    x = 238,599.64

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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.