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Finding the Fourth Proportional to 509,680.92, 762,857.40 and 374,709.36

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Solution

The fourth proportional to 509,680.92, 762,857.40 and 374,709.36 is: 560,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,680.92 : 762,857.40 = 374,709.36 : x
  2. Step 2: Convert to fraction form
    509,680.92/762,857.40 = 374,709.36/x
  3. Step 3: Cross multiply
    509,680.92x = 762,857.40 × 374,709.36
  4. Step 4: Simplify right side
    509,680.92x = 285,849,808,125.26
  5. Step 5: Solve for x
    x = 285,849,808,125.26/509,680.92
  6. Step 6: Final answer
    x = 560,840.71

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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.