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Finding the Fourth Proportional to 421,838.65, 634,234.20 and 412,981.30

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Solution

The fourth proportional to 421,838.65, 634,234.20 and 412,981.30 is: 620,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,838.65 : 634,234.20 = 412,981.30 : x
  2. Step 2: Convert to fraction form
    421,838.65/634,234.20 = 412,981.30/x
  3. Step 3: Cross multiply
    421,838.65x = 634,234.20 × 412,981.30
  4. Step 4: Simplify right side
    421,838.65x = 261,926,864,420.46
  5. Step 5: Solve for x
    x = 261,926,864,420.46/421,838.65
  6. Step 6: Final answer
    x = 620,917.18

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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.