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Finding the Fourth Proportional to 604,414.80, 905,528.70 and 288,174.60

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Solution

The fourth proportional to 604,414.80, 905,528.70 and 288,174.60 is: 431,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,414.80 : 905,528.70 = 288,174.60 : x
  2. Step 2: Convert to fraction form
    604,414.80/905,528.70 = 288,174.60/x
  3. Step 3: Cross multiply
    604,414.80x = 905,528.70 × 288,174.60
  4. Step 4: Simplify right side
    604,414.80x = 260,950,370,911.02
  5. Step 5: Solve for x
    x = 260,950,370,911.02/604,414.80
  6. Step 6: Final answer
    x = 431,740.54

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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.