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Finding the Fourth Proportional to 402,820.80, 603,712.80 and 308,860.80

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Solution

The fourth proportional to 402,820.80, 603,712.80 and 308,860.80 is: 462,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,820.80 : 603,712.80 = 308,860.80 : x
  2. Step 2: Convert to fraction form
    402,820.80/603,712.80 = 308,860.80/x
  3. Step 3: Cross multiply
    402,820.80x = 603,712.80 × 308,860.80
  4. Step 4: Simplify right side
    402,820.80x = 186,463,218,378.24
  5. Step 5: Solve for x
    x = 186,463,218,378.24/402,820.80
  6. Step 6: Final answer
    x = 462,893.72

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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.