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Finding the Fourth Proportional to 509,703.02, 764,646.72 and 210,016.90

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Solution

The fourth proportional to 509,703.02, 764,646.72 and 210,016.90 is: 315,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,703.02 : 764,646.72 = 210,016.90 : x
  2. Step 2: Convert to fraction form
    509,703.02/764,646.72 = 210,016.90/x
  3. Step 3: Cross multiply
    509,703.02x = 764,646.72 × 210,016.90
  4. Step 4: Simplify right side
    509,703.02x = 160,588,733,729.57
  5. Step 5: Solve for x
    x = 160,588,733,729.57/509,703.02
  6. Step 6: Final answer
    x = 315,063.34

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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.