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Finding the Fourth Proportional to 591,379.60, 816,103.34 and 319,447.40

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Solution

The fourth proportional to 591,379.60, 816,103.34 and 319,447.40 is: 440,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,379.60 : 816,103.34 = 319,447.40 : x
  2. Step 2: Convert to fraction form
    591,379.60/816,103.34 = 319,447.40/x
  3. Step 3: Cross multiply
    591,379.60x = 816,103.34 × 319,447.40
  4. Step 4: Simplify right side
    591,379.60x = 260,702,090,094.32
  5. Step 5: Solve for x
    x = 260,702,090,094.32/591,379.60
  6. Step 6: Final answer
    x = 440,837.14

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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.