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Finding the Fourth Proportional to 357,649.80, 536,474.70 and 188,939.40

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Solution

The fourth proportional to 357,649.80, 536,474.70 and 188,939.40 is: 283,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,649.80 : 536,474.70 = 188,939.40 : x
  2. Step 2: Convert to fraction form
    357,649.80/536,474.70 = 188,939.40/x
  3. Step 3: Cross multiply
    357,649.80x = 536,474.70 × 188,939.40
  4. Step 4: Simplify right side
    357,649.80x = 101,361,207,933.18
  5. Step 5: Solve for x
    x = 101,361,207,933.18/357,649.80
  6. Step 6: Final answer
    x = 283,409.10

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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.