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Finding the Fourth Proportional to 200,999.20, 300,842.70 and 156,384.40

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Solution

The fourth proportional to 200,999.20, 300,842.70 and 156,384.40 is: 234,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,999.20 : 300,842.70 = 156,384.40 : x
  2. Step 2: Convert to fraction form
    200,999.20/300,842.70 = 156,384.40/x
  3. Step 3: Cross multiply
    200,999.20x = 300,842.70 × 156,384.40
  4. Step 4: Simplify right side
    200,999.20x = 47,047,105,133.88
  5. Step 5: Solve for x
    x = 47,047,105,133.88/200,999.20
  6. Step 6: Final answer
    x = 234,066.13

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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.