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Finding the Fourth Proportional to 314,812.59, 434,428.68 and 171,569.55

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Solution

The fourth proportional to 314,812.59, 434,428.68 and 171,569.55 is: 236,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,812.59 : 434,428.68 = 171,569.55 : x
  2. Step 2: Convert to fraction form
    314,812.59/434,428.68 = 171,569.55/x
  3. Step 3: Cross multiply
    314,812.59x = 434,428.68 × 171,569.55
  4. Step 4: Simplify right side
    314,812.59x = 74,534,733,134.69
  5. Step 5: Solve for x
    x = 74,534,733,134.69/314,812.59
  6. Step 6: Final answer
    x = 236,759.06

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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.