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Finding the Fourth Proportional to 584,765.21, 806,978.45 and 316,493.21

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Solution

The fourth proportional to 584,765.21, 806,978.45 and 316,493.21 is: 436,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,765.21 : 806,978.45 = 316,493.21 : x
  2. Step 2: Convert to fraction form
    584,765.21/806,978.45 = 316,493.21/x
  3. Step 3: Cross multiply
    584,765.21x = 806,978.45 × 316,493.21
  4. Step 4: Simplify right side
    584,765.21x = 255,403,200,041.33
  5. Step 5: Solve for x
    x = 255,403,200,041.33/584,765.21
  6. Step 6: Final answer
    x = 436,761.96

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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.