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Finding the Fourth Proportional to 422,920.86, 634,319.54 and 123,320.94

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Solution

The fourth proportional to 422,920.86, 634,319.54 and 123,320.94 is: 184,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,920.86 : 634,319.54 = 123,320.94 : x
  2. Step 2: Convert to fraction form
    422,920.86/634,319.54 = 123,320.94/x
  3. Step 3: Cross multiply
    422,920.86x = 634,319.54 × 123,320.94
  4. Step 4: Simplify right side
    422,920.86x = 78,224,881,933.17
  5. Step 5: Solve for x
    x = 78,224,881,933.17/422,920.86
  6. Step 6: Final answer
    x = 184,963.40

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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.