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Finding the Fourth Proportional to 354,157.86, 488,723.59 and 193,009.44

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Solution

The fourth proportional to 354,157.86, 488,723.59 and 193,009.44 is: 266,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,157.86 : 488,723.59 = 193,009.44 : x
  2. Step 2: Convert to fraction form
    354,157.86/488,723.59 = 193,009.44/x
  3. Step 3: Cross multiply
    354,157.86x = 488,723.59 × 193,009.44
  4. Step 4: Simplify right side
    354,157.86x = 94,328,266,420.69
  5. Step 5: Solve for x
    x = 94,328,266,420.69/354,157.86
  6. Step 6: Final answer
    x = 266,345.26

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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.