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Finding the Fourth Proportional to 509,666.40, 764,591.40 and 209,983.12

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Solution

The fourth proportional to 509,666.40, 764,591.40 and 209,983.12 is: 315,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,666.40 : 764,591.40 = 209,983.12 : x
  2. Step 2: Convert to fraction form
    509,666.40/764,591.40 = 209,983.12/x
  3. Step 3: Cross multiply
    509,666.40x = 764,591.40 × 209,983.12
  4. Step 4: Simplify right side
    509,666.40x = 160,551,287,697.17
  5. Step 5: Solve for x
    x = 160,551,287,697.17/509,666.40
  6. Step 6: Final answer
    x = 315,012.50

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1.5x scale

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.