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Finding the Fourth Proportional to 509,648.40, 764,564.40 and 209,965.20

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Solution

The fourth proportional to 509,648.40, 764,564.40 and 209,965.20 is: 314,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,648.40 : 764,564.40 = 209,965.20 : x
  2. Step 2: Convert to fraction form
    509,648.40/764,564.40 = 209,965.20/x
  3. Step 3: Cross multiply
    509,648.40x = 764,564.40 × 209,965.20
  4. Step 4: Simplify right side
    509,648.40x = 160,531,917,158.88
  5. Step 5: Solve for x
    x = 160,531,917,158.88/509,648.40
  6. Step 6: Final answer
    x = 314,985.62

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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.