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Finding the Fourth Proportional to 314,812.45, 434,428.51 and 171,569.41

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Solution

The fourth proportional to 314,812.45, 434,428.51 and 171,569.41 is: 236,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,812.45 : 434,428.51 = 171,569.41 : x
  2. Step 2: Convert to fraction form
    314,812.45/434,428.51 = 171,569.41/x
  3. Step 3: Cross multiply
    314,812.45x = 434,428.51 × 171,569.41
  4. Step 4: Simplify right side
    314,812.45x = 74,534,643,147.88
  5. Step 5: Solve for x
    x = 74,534,643,147.88/314,812.45
  6. Step 6: Final answer
    x = 236,758.88

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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.