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Finding the Fourth Proportional to 399,622.32, 598,916.80 and 298,992.98

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Solution

The fourth proportional to 399,622.32, 598,916.80 and 298,992.98 is: 448,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,622.32 : 598,916.80 = 298,992.98 : x
  2. Step 2: Convert to fraction form
    399,622.32/598,916.80 = 298,992.98/x
  3. Step 3: Cross multiply
    399,622.32x = 598,916.80 × 298,992.98
  4. Step 4: Simplify right side
    399,622.32x = 179,071,918,804.06
  5. Step 5: Solve for x
    x = 179,071,918,804.06/399,622.32
  6. Step 6: Final answer
    x = 448,102.90

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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.