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Finding the Fourth Proportional to 359,696, 539,492.80 and 146,556.88

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Solution

The fourth proportional to 359,696, 539,492.80 and 146,556.88 is: 219,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,696 : 539,492.80 = 146,556.88 : x
  2. Step 2: Convert to fraction form
    359,696/539,492.80 = 146,556.88/x
  3. Step 3: Cross multiply
    359,696x = 539,492.80 × 146,556.88
  4. Step 4: Simplify right side
    359,696x = 79,066,381,550.46
  5. Step 5: Solve for x
    x = 79,066,381,550.46/359,696
  6. Step 6: Final answer
    x = 219,814.46

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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.