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Finding the Fourth Proportional to 354,867.86, 488,474.64 and 309,465.74

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Solution

The fourth proportional to 354,867.86, 488,474.64 and 309,465.74 is: 425,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,867.86 : 488,474.64 = 309,465.74 : x
  2. Step 2: Convert to fraction form
    354,867.86/488,474.64 = 309,465.74/x
  3. Step 3: Cross multiply
    354,867.86x = 488,474.64 × 309,465.74
  4. Step 4: Simplify right side
    354,867.86x = 151,166,165,938.83
  5. Step 5: Solve for x
    x = 151,166,165,938.83/354,867.86
  6. Step 6: Final answer
    x = 425,978.75

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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.