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Finding the Fourth Proportional to 561,830.30, 775,135.88 and 319,941.35

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Solution

The fourth proportional to 561,830.30, 775,135.88 and 319,941.35 is: 441,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,830.30 : 775,135.88 = 319,941.35 : x
  2. Step 2: Convert to fraction form
    561,830.30/775,135.88 = 319,941.35/x
  3. Step 3: Cross multiply
    561,830.30x = 775,135.88 × 319,941.35
  4. Step 4: Simplify right side
    561,830.30x = 247,998,014,405.25
  5. Step 5: Solve for x
    x = 247,998,014,405.25/561,830.30
  6. Step 6: Final answer
    x = 441,410.90

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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.