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Finding the Fourth Proportional to 359,155, 538,735.20 and 159,421.69

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Solution

The fourth proportional to 359,155, 538,735.20 and 159,421.69 is: 239,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,155 : 538,735.20 = 159,421.69 : x
  2. Step 2: Convert to fraction form
    359,155/538,735.20 = 159,421.69/x
  3. Step 3: Cross multiply
    359,155x = 538,735.20 × 159,421.69
  4. Step 4: Simplify right side
    359,155x = 85,886,076,046.49
  5. Step 5: Solve for x
    x = 85,886,076,046.49/359,155
  6. Step 6: Final answer
    x = 239,133.73

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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.