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Finding the Fourth Proportional to 357,185.14, 535,405.09 and 120,446.42

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Solution

The fourth proportional to 357,185.14, 535,405.09 and 120,446.42 is: 180,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,185.14 : 535,405.09 = 120,446.42 : x
  2. Step 2: Convert to fraction form
    357,185.14/535,405.09 = 120,446.42/x
  3. Step 3: Cross multiply
    357,185.14x = 535,405.09 × 120,446.42
  4. Step 4: Simplify right side
    357,185.14x = 64,487,626,340.28
  5. Step 5: Solve for x
    x = 64,487,626,340.28/357,185.14
  6. Step 6: Final answer
    x = 180,543.98

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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.