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Finding the Fourth Proportional to 456,307.78, 684,409.36 and 119,380.95

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Solution

The fourth proportional to 456,307.78, 684,409.36 and 119,380.95 is: 179,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,307.78 : 684,409.36 = 119,380.95 : x
  2. Step 2: Convert to fraction form
    456,307.78/684,409.36 = 119,380.95/x
  3. Step 3: Cross multiply
    456,307.78x = 684,409.36 × 119,380.95
  4. Step 4: Simplify right side
    456,307.78x = 81,705,439,585.69
  5. Step 5: Solve for x
    x = 81,705,439,585.69/456,307.78
  6. Step 6: Final answer
    x = 179,057.74

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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.