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Finding the Fourth Proportional to 413,775.20, 620,662.80 and 385,781.60

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Solution

The fourth proportional to 413,775.20, 620,662.80 and 385,781.60 is: 578,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,775.20 : 620,662.80 = 385,781.60 : x
  2. Step 2: Convert to fraction form
    413,775.20/620,662.80 = 385,781.60/x
  3. Step 3: Cross multiply
    413,775.20x = 620,662.80 × 385,781.60
  4. Step 4: Simplify right side
    413,775.20x = 239,440,288,044.48
  5. Step 5: Solve for x
    x = 239,440,288,044.48/413,775.20
  6. Step 6: Final answer
    x = 578,672.40

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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.