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Finding the Fourth Proportional to 456,477.20, 684,715.80 and 119,517.20

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Solution

The fourth proportional to 456,477.20, 684,715.80 and 119,517.20 is: 179,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,477.20 : 684,715.80 = 119,517.20 : x
  2. Step 2: Convert to fraction form
    456,477.20/684,715.80 = 119,517.20/x
  3. Step 3: Cross multiply
    456,477.20x = 684,715.80 × 119,517.20
  4. Step 4: Simplify right side
    456,477.20x = 81,835,315,211.76
  5. Step 5: Solve for x
    x = 81,835,315,211.76/456,477.20
  6. Step 6: Final answer
    x = 179,275.80

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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.