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Finding the Fourth Proportional to 426,409.42, 639,497.37 and 160,149.34

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Solution

The fourth proportional to 426,409.42, 639,497.37 and 160,149.34 is: 240,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,409.42 : 639,497.37 = 160,149.34 : x
  2. Step 2: Convert to fraction form
    426,409.42/639,497.37 = 160,149.34/x
  3. Step 3: Cross multiply
    426,409.42x = 639,497.37 × 160,149.34
  4. Step 4: Simplify right side
    426,409.42x = 102,415,081,737.24
  5. Step 5: Solve for x
    x = 102,415,081,737.24/426,409.42
  6. Step 6: Final answer
    x = 240,180.16

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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.