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Finding the Fourth Proportional to 401,829.80, 601,869.90 and 243,782.60

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Solution

The fourth proportional to 401,829.80, 601,869.90 and 243,782.60 is: 365,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,829.80 : 601,869.90 = 243,782.60 : x
  2. Step 2: Convert to fraction form
    401,829.80/601,869.90 = 243,782.60/x
  3. Step 3: Cross multiply
    401,829.80x = 601,869.90 × 243,782.60
  4. Step 4: Simplify right side
    401,829.80x = 146,725,409,083.74
  5. Step 5: Solve for x
    x = 146,725,409,083.74/401,829.80
  6. Step 6: Final answer
    x = 365,143.18

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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.