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Finding the Fourth Proportional to 314,770.12, 434,382.12 and 171,529.82

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Solution

The fourth proportional to 314,770.12, 434,382.12 and 171,529.82 is: 236,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,770.12 : 434,382.12 = 171,529.82 : x
  2. Step 2: Convert to fraction form
    314,770.12/434,382.12 = 171,529.82/x
  3. Step 3: Cross multiply
    314,770.12x = 434,382.12 × 171,529.82
  4. Step 4: Simplify right side
    314,770.12x = 74,509,486,854.82
  5. Step 5: Solve for x
    x = 74,509,486,854.82/314,770.12
  6. Step 6: Final answer
    x = 236,710.80

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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.