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Finding the Fourth Proportional to 520,208.73, 780,313.08 and 146,231.73

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Solution

The fourth proportional to 520,208.73, 780,313.08 and 146,231.73 is: 219,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,208.73 : 780,313.08 = 146,231.73 : x
  2. Step 2: Convert to fraction form
    520,208.73/780,313.08 = 146,231.73/x
  3. Step 3: Cross multiply
    520,208.73x = 780,313.08 × 146,231.73
  4. Step 4: Simplify right side
    520,208.73x = 114,106,531,630.03
  5. Step 5: Solve for x
    x = 114,106,531,630.03/520,208.73
  6. Step 6: Final answer
    x = 219,347.59

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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.