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Finding the Fourth Proportional to 668,342.14, 922,360.94 and 381,856.08

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Solution

The fourth proportional to 668,342.14, 922,360.94 and 381,856.08 is: 526,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,342.14 : 922,360.94 = 381,856.08 : x
  2. Step 2: Convert to fraction form
    668,342.14/922,360.94 = 381,856.08/x
  3. Step 3: Cross multiply
    668,342.14x = 922,360.94 × 381,856.08
  4. Step 4: Simplify right side
    668,342.14x = 352,209,126,372.43
  5. Step 5: Solve for x
    x = 352,209,126,372.43/668,342.14
  6. Step 6: Final answer
    x = 526,989.25

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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.