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Finding the Fourth Proportional to 314,980.77, 434,654.64 and 178,995.90

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Solution

The fourth proportional to 314,980.77, 434,654.64 and 178,995.90 is: 247,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980.77 : 434,654.64 = 178,995.90 : x
  2. Step 2: Convert to fraction form
    314,980.77/434,654.64 = 178,995.90/x
  3. Step 3: Cross multiply
    314,980.77x = 434,654.64 × 178,995.90
  4. Step 4: Simplify right side
    314,980.77x = 77,801,398,475.98
  5. Step 5: Solve for x
    x = 77,801,398,475.98/314,980.77
  6. Step 6: Final answer
    x = 247,003.65

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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.