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Finding the Fourth Proportional to 402,712.80, 603,550.80 and 308,752.80

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Solution

The fourth proportional to 402,712.80, 603,550.80 and 308,752.80 is: 462,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,712.80 : 603,550.80 = 308,752.80 : x
  2. Step 2: Convert to fraction form
    402,712.80/603,550.80 = 308,752.80/x
  3. Step 3: Cross multiply
    402,712.80x = 603,550.80 × 308,752.80
  4. Step 4: Simplify right side
    402,712.80x = 186,347,999,442.24
  5. Step 5: Solve for x
    x = 186,347,999,442.24/402,712.80
  6. Step 6: Final answer
    x = 462,731.75

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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.