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Finding the Fourth Proportional to 290,131.80, 434,731.14 and 243,475.80

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Solution

The fourth proportional to 290,131.80, 434,731.14 and 243,475.80 is: 364,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,131.80 : 434,731.14 = 243,475.80 : x
  2. Step 2: Convert to fraction form
    290,131.80/434,731.14 = 243,475.80/x
  3. Step 3: Cross multiply
    290,131.80x = 434,731.14 × 243,475.80
  4. Step 4: Simplify right side
    290,131.80x = 105,846,512,096.41
  5. Step 5: Solve for x
    x = 105,846,512,096.41/290,131.80
  6. Step 6: Final answer
    x = 364,822.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.