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Finding the Fourth Proportional to 520,538.13, 780,806.93 and 146,561.13

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Solution

The fourth proportional to 520,538.13, 780,806.93 and 146,561.13 is: 219,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,538.13 : 780,806.93 = 146,561.13 : x
  2. Step 2: Convert to fraction form
    520,538.13/780,806.93 = 146,561.13/x
  3. Step 3: Cross multiply
    520,538.13x = 780,806.93 × 146,561.13
  4. Step 4: Simplify right side
    520,538.13x = 114,435,945,239.83
  5. Step 5: Solve for x
    x = 114,435,945,239.83/520,538.13
  6. Step 6: Final answer
    x = 219,841.62

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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.