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Finding the Fourth Proportional to 370,274.22, 510,978.78 and 209,129.58

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Solution

The fourth proportional to 370,274.22, 510,978.78 and 209,129.58 is: 288,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,274.22 : 510,978.78 = 209,129.58 : x
  2. Step 2: Convert to fraction form
    370,274.22/510,978.78 = 209,129.58/x
  3. Step 3: Cross multiply
    370,274.22x = 510,978.78 × 209,129.58
  4. Step 4: Simplify right side
    370,274.22x = 106,860,777,650.31
  5. Step 5: Solve for x
    x = 106,860,777,650.31/370,274.22
  6. Step 6: Final answer
    x = 288,599.02

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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.