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Finding the Fourth Proportional to 497,857.60, 746,485.92 and 198,384.48

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Solution

The fourth proportional to 497,857.60, 746,485.92 and 198,384.48 is: 297,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,857.60 : 746,485.92 = 198,384.48 : x
  2. Step 2: Convert to fraction form
    497,857.60/746,485.92 = 198,384.48/x
  3. Step 3: Cross multiply
    497,857.60x = 746,485.92 × 198,384.48
  4. Step 4: Simplify right side
    497,857.60x = 148,091,221,066.52
  5. Step 5: Solve for x
    x = 148,091,221,066.52/497,857.60
  6. Step 6: Final answer
    x = 297,456.99

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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.