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Finding the Fourth Proportional to 314,877.66, 434,522.52 and 171,640.50

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Solution

The fourth proportional to 314,877.66, 434,522.52 and 171,640.50 is: 236,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,877.66 : 434,522.52 = 171,640.50 : x
  2. Step 2: Convert to fraction form
    314,877.66/434,522.52 = 171,640.50/x
  3. Step 3: Cross multiply
    314,877.66x = 434,522.52 × 171,640.50
  4. Step 4: Simplify right side
    314,877.66x = 74,581,662,594.06
  5. Step 5: Solve for x
    x = 74,581,662,594.06/314,877.66
  6. Step 6: Final answer
    x = 236,859.17

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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.