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Finding the Fourth Proportional to 456,486.30, 684,729.45 and 279,339.30

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Solution

The fourth proportional to 456,486.30, 684,729.45 and 279,339.30 is: 419,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,486.30 : 684,729.45 = 279,339.30 : x
  2. Step 2: Convert to fraction form
    456,486.30/684,729.45 = 279,339.30/x
  3. Step 3: Cross multiply
    456,486.30x = 684,729.45 × 279,339.30
  4. Step 4: Simplify right side
    456,486.30x = 191,271,845,252.39
  5. Step 5: Solve for x
    x = 191,271,845,252.39/456,486.30
  6. Step 6: Final answer
    x = 419,008.95

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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.