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Finding the Fourth Proportional to 292,285.65, 438,474.35 and 123,806.46

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Solution

The fourth proportional to 292,285.65, 438,474.35 and 123,806.46 is: 185,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,285.65 : 438,474.35 = 123,806.46 : x
  2. Step 2: Convert to fraction form
    292,285.65/438,474.35 = 123,806.46/x
  3. Step 3: Cross multiply
    292,285.65x = 438,474.35 × 123,806.46
  4. Step 4: Simplify right side
    292,285.65x = 54,285,957,074.30
  5. Step 5: Solve for x
    x = 54,285,957,074.30/292,285.65
  6. Step 6: Final answer
    x = 185,729.12

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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.