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Finding the Fourth Proportional to 456,442.80, 684,664.20 and 279,295.80

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Solution

The fourth proportional to 456,442.80, 684,664.20 and 279,295.80 is: 418,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,442.80 : 684,664.20 = 279,295.80 : x
  2. Step 2: Convert to fraction form
    456,442.80/684,664.20 = 279,295.80/x
  3. Step 3: Cross multiply
    456,442.80x = 684,664.20 × 279,295.80
  4. Step 4: Simplify right side
    456,442.80x = 191,223,835,470.36
  5. Step 5: Solve for x
    x = 191,223,835,470.36/456,442.80
  6. Step 6: Final answer
    x = 418,943.70

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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.