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Finding the Fourth Proportional to 668,296.56, 922,164.26 and 381,835.20

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Solution

The fourth proportional to 668,296.56, 922,164.26 and 381,835.20 is: 526,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,296.56 : 922,164.26 = 381,835.20 : x
  2. Step 2: Convert to fraction form
    668,296.56/922,164.26 = 381,835.20/x
  3. Step 3: Cross multiply
    668,296.56x = 922,164.26 × 381,835.20
  4. Step 4: Simplify right side
    668,296.56x = 352,114,774,649.95
  5. Step 5: Solve for x
    x = 352,114,774,649.95/668,296.56
  6. Step 6: Final answer
    x = 526,884.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.