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Finding the Fourth Proportional to 439,897.96, 659,911.90 and 159,349.80

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Solution

The fourth proportional to 439,897.96, 659,911.90 and 159,349.80 is: 239,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,897.96 : 659,911.90 = 159,349.80 : x
  2. Step 2: Convert to fraction form
    439,897.96/659,911.90 = 159,349.80/x
  3. Step 3: Cross multiply
    439,897.96x = 659,911.90 × 159,349.80
  4. Step 4: Simplify right side
    439,897.96x = 105,156,829,282.62
  5. Step 5: Solve for x
    x = 105,156,829,282.62/439,897.96
  6. Step 6: Final answer
    x = 239,048.23

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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.