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Finding the Fourth Proportional to 427,564.80, 642,902.40 and 418,233.60

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Solution

The fourth proportional to 427,564.80, 642,902.40 and 418,233.60 is: 628,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,564.80 : 642,902.40 = 418,233.60 : x
  2. Step 2: Convert to fraction form
    427,564.80/642,902.40 = 418,233.60/x
  3. Step 3: Cross multiply
    427,564.80x = 642,902.40 × 418,233.60
  4. Step 4: Simplify right side
    427,564.80x = 268,883,385,200.64
  5. Step 5: Solve for x
    x = 268,883,385,200.64/427,564.80
  6. Step 6: Final answer
    x = 628,871.66

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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.