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Finding the Fourth Proportional to 509,348, 764,070.60 and 209,848.88

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Solution

The fourth proportional to 509,348, 764,070.60 and 209,848.88 is: 314,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,348 : 764,070.60 = 209,848.88 : x
  2. Step 2: Convert to fraction form
    509,348/764,070.60 = 209,848.88/x
  3. Step 3: Cross multiply
    509,348x = 764,070.60 × 209,848.88
  4. Step 4: Simplify right side
    509,348x = 160,339,359,650.93
  5. Step 5: Solve for x
    x = 160,339,359,650.93/509,348
  6. Step 6: Final answer
    x = 314,793.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.