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Finding the Fourth Proportional to 520,209.23, 780,313.83 and 146,232.23

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Solution

The fourth proportional to 520,209.23, 780,313.83 and 146,232.23 is: 219,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,209.23 : 780,313.83 = 146,232.23 : x
  2. Step 2: Convert to fraction form
    520,209.23/780,313.83 = 146,232.23/x
  3. Step 3: Cross multiply
    520,209.23x = 780,313.83 × 146,232.23
  4. Step 4: Simplify right side
    520,209.23x = 114,107,031,460.74
  5. Step 5: Solve for x
    x = 114,107,031,460.74/520,209.23
  6. Step 6: Final answer
    x = 219,348.34

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Similar ratio
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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.