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Finding the Fourth Proportional to 509,730.96, 764,615.92 and 260,121.36

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Solution

The fourth proportional to 509,730.96, 764,615.92 and 260,121.36 is: 390,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,730.96 : 764,615.92 = 260,121.36 : x
  2. Step 2: Convert to fraction form
    509,730.96/764,615.92 = 260,121.36/x
  3. Step 3: Cross multiply
    509,730.96x = 764,615.92 × 260,121.36
  4. Step 4: Simplify right side
    509,730.96x = 198,892,932,988.05
  5. Step 5: Solve for x
    x = 198,892,932,988.05/509,730.96
  6. Step 6: Final answer
    x = 390,191.98

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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.