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Finding the Fourth Proportional to 359,208.88, 538,778.34 and 145,989.58

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Solution

The fourth proportional to 359,208.88, 538,778.34 and 145,989.58 is: 218,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,208.88 : 538,778.34 = 145,989.58 : x
  2. Step 2: Convert to fraction form
    359,208.88/538,778.34 = 145,989.58/x
  3. Step 3: Cross multiply
    359,208.88x = 538,778.34 × 145,989.58
  4. Step 4: Simplify right side
    359,208.88x = 78,656,020,145.86
  5. Step 5: Solve for x
    x = 78,656,020,145.86/359,208.88
  6. Step 6: Final answer
    x = 218,970.14

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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.