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Finding the Fourth Proportional to 509,178.40, 764,063.64 and 209,689.12

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Solution

The fourth proportional to 509,178.40, 764,063.64 and 209,689.12 is: 314,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,178.40 : 764,063.64 = 209,689.12 : x
  2. Step 2: Convert to fraction form
    509,178.40/764,063.64 = 209,689.12/x
  3. Step 3: Cross multiply
    509,178.40x = 764,063.64 × 209,689.12
  4. Step 4: Simplify right side
    509,178.40x = 160,215,832,295.60
  5. Step 5: Solve for x
    x = 160,215,832,295.60/509,178.40
  6. Step 6: Final answer
    x = 314,655.59

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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.