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Finding the Fourth Proportional to 497,930.64, 746,409.96 and 198,321.36

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Solution

The fourth proportional to 497,930.64, 746,409.96 and 198,321.36 is: 297,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,930.64 : 746,409.96 = 198,321.36 : x
  2. Step 2: Convert to fraction form
    497,930.64/746,409.96 = 198,321.36/x
  3. Step 3: Cross multiply
    497,930.64x = 746,409.96 × 198,321.36
  4. Step 4: Simplify right side
    497,930.64x = 148,029,038,384.75
  5. Step 5: Solve for x
    x = 148,029,038,384.75/497,930.64
  6. Step 6: Final answer
    x = 297,288.47

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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.