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Finding the Fourth Proportional to 509,833.80, 764,969.40 and 260,515.80

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Solution

The fourth proportional to 509,833.80, 764,969.40 and 260,515.80 is: 390,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,833.80 : 764,969.40 = 260,515.80 : x
  2. Step 2: Convert to fraction form
    509,833.80/764,969.40 = 260,515.80/x
  3. Step 3: Cross multiply
    509,833.80x = 764,969.40 × 260,515.80
  4. Step 4: Simplify right side
    509,833.80x = 199,286,615,216.52
  5. Step 5: Solve for x
    x = 199,286,615,216.52/509,833.80
  6. Step 6: Final answer
    x = 390,885.45

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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.