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Finding the Fourth Proportional to 509,054.40, 764,359.20 and 390,859.20

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Solution

The fourth proportional to 509,054.40, 764,359.20 and 390,859.20 is: 586,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,054.40 : 764,359.20 = 390,859.20 : x
  2. Step 2: Convert to fraction form
    509,054.40/764,359.20 = 390,859.20/x
  3. Step 3: Cross multiply
    509,054.40x = 764,359.20 × 390,859.20
  4. Step 4: Simplify right side
    509,054.40x = 298,756,825,424.64
  5. Step 5: Solve for x
    x = 298,756,825,424.64/509,054.40
  6. Step 6: Final answer
    x = 586,885.85

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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.