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Finding the Fourth Proportional to 316,159.84, 436,309.20 and 172,928.32

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Solution

The fourth proportional to 316,159.84, 436,309.20 and 172,928.32 is: 238,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,159.84 : 436,309.20 = 172,928.32 : x
  2. Step 2: Convert to fraction form
    316,159.84/436,309.20 = 172,928.32/x
  3. Step 3: Cross multiply
    316,159.84x = 436,309.20 × 172,928.32
  4. Step 4: Simplify right side
    316,159.84x = 75,450,216,956.54
  5. Step 5: Solve for x
    x = 75,450,216,956.54/316,159.84
  6. Step 6: Final answer
    x = 238,645.80

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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.