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Finding the Fourth Proportional to 825,129.08, 1,236,978.06 and 319,341.90

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Solution

The fourth proportional to 825,129.08, 1,236,978.06 and 319,341.90 is: 478,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,129.08 : 1,236,978.06 = 319,341.90 : x
  2. Step 2: Convert to fraction form
    825,129.08/1,236,978.06 = 319,341.90/x
  3. Step 3: Cross multiply
    825,129.08x = 1,236,978.06 × 319,341.90
  4. Step 4: Simplify right side
    825,129.08x = 395,018,923,938.71
  5. Step 5: Solve for x
    x = 395,018,923,938.71/825,129.08
  6. Step 6: Final answer
    x = 478,735.91

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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.