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Finding the Fourth Proportional to 825,468.54, 1,237,995 and 319,856.01

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Solution

The fourth proportional to 825,468.54, 1,237,995 and 319,856.01 is: 479,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,468.54 : 1,237,995 = 319,856.01 : x
  2. Step 2: Convert to fraction form
    825,468.54/1,237,995 = 319,856.01/x
  3. Step 3: Cross multiply
    825,468.54x = 1,237,995 × 319,856.01
  4. Step 4: Simplify right side
    825,468.54x = 395,980,141,099.95
  5. Step 5: Solve for x
    x = 395,980,141,099.95/825,468.54
  6. Step 6: Final answer
    x = 479,703.49

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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.