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Finding the Fourth Proportional to 402,006.40, 603,009.60 and 394,133.20

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Solution

The fourth proportional to 402,006.40, 603,009.60 and 394,133.20 is: 591,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,006.40 : 603,009.60 = 394,133.20 : x
  2. Step 2: Convert to fraction form
    402,006.40/603,009.60 = 394,133.20/x
  3. Step 3: Cross multiply
    402,006.40x = 603,009.60 × 394,133.20
  4. Step 4: Simplify right side
    402,006.40x = 237,666,103,278.72
  5. Step 5: Solve for x
    x = 237,666,103,278.72/402,006.40
  6. Step 6: Final answer
    x = 591,199.80

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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.