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Finding the Fourth Proportional to 401,827.30, 601,866.15 and 243,780.10

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Solution

The fourth proportional to 401,827.30, 601,866.15 and 243,780.10 is: 365,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,827.30 : 601,866.15 = 243,780.10 : x
  2. Step 2: Convert to fraction form
    401,827.30/601,866.15 = 243,780.10/x
  3. Step 3: Cross multiply
    401,827.30x = 601,866.15 × 243,780.10
  4. Step 4: Simplify right side
    401,827.30x = 146,722,990,233.62
  5. Step 5: Solve for x
    x = 146,722,990,233.62/401,827.30
  6. Step 6: Final answer
    x = 365,139.43

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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.