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Finding the Fourth Proportional to 421,837.65, 634,232.70 and 412,980.30

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Solution

The fourth proportional to 421,837.65, 634,232.70 and 412,980.30 is: 620,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,837.65 : 634,232.70 = 412,980.30 : x
  2. Step 2: Convert to fraction form
    421,837.65/634,232.70 = 412,980.30/x
  3. Step 3: Cross multiply
    421,837.65x = 634,232.70 × 412,980.30
  4. Step 4: Simplify right side
    421,837.65x = 261,925,610,715.81
  5. Step 5: Solve for x
    x = 261,925,610,715.81/421,837.65
  6. Step 6: Final answer
    x = 620,915.68

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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.